C957 Unit 3 Module 1 Exam with
Questions and Correct Answers 2025
Harold ,uses ,a ,rideshare ,service ,to ,travel ,from ,the ,airport ,to ,his ,hotel. ,The ,rideshare
,service ,charges ,a ,$5.00 ,flat ,rate, ,and ,an ,additional ,fuel ,fee ,at ,the ,rate ,of ,$0.20 ,per
,mile. ,
If ,F(m) ,models ,the ,charge ,for ,the ,rideshare ,service, ,where ,m ,is ,the ,number ,of ,miles
,driven, ,which ,of ,the ,following ,represent ,the ,amount ,Harold ,has ,to ,pay ,if ,the ,hotel ,is
,12 ,miles ,from ,the ,airport?
A) ,F(12)=60.20, ,which ,suggests ,that ,he ,will ,pay ,$60.20 ,for ,travelling ,12 ,miles.
B) ,F(12)=7.4, ,which ,suggests ,that ,he ,will ,pay ,$7.40 ,for ,travelling ,12 ,miles. ,
C) ,F(7.4)=12, ,which ,suggests ,that ,he ,will ,pay ,$7.40 ,for ,travelling ,12 ,miles.
D) ,F(35)=12, ,which ,suggests ,that ,he ,will ,pay ,$35 ,for ,travelling ,12 ,miles. ,- ,CORRECT
,ANSWER-F(12)=7.4, ,which ,suggests ,that ,he ,will ,pay ,$7.40 ,for ,travelling ,12 ,miles.
Augusta ,has ,$100 ,to ,spend ,on ,markers ,and ,pens. ,Markers ,cost ,$2. ,Pens ,cost ,$5.
,The ,number ,of ,pens ,she ,can ,purchase ,is ,modeled ,by ,the ,function ,p(m)=−0.4m+20,
,where ,m ,is ,the ,number ,of ,markers ,she ,can ,purchase. ,
Find ,the ,inverse ,function ,of ,P(m).
A) ,M(p)=−2.5p−50
B) ,M(p)=−2.5p+50
C) ,M(p)=2.5p+50
D) ,M(p)=2.5p−50 ,- ,CORRECT ,ANSWER-M(p)=−2.5p+50
In ,addition ,to ,Celsius ,and ,Fahrenheit, ,there ,is ,one ,additional ,unit ,of ,measure ,used ,in
,temperature ,called ,Kelvin. ,Temperature ,in ,Kelvin ,can ,be ,calculated ,by ,adding ,273.15
,to ,the ,temperature ,in ,Celsius. ,
What ,is ,a ,correct ,statement ,about ,this ,relationship? ,
A) ,The ,function ,to ,convert ,Celsius ,to ,Kelvin ,is ,K(C)=C−273.15. ,
B) ,The ,function ,to ,convert ,Celsius ,to ,Kelvin ,is ,K(C)=273.15C. ,
C) ,The ,function ,to ,convert ,Kelvin ,to ,Celsius ,is ,C(K)=K+273.15. ,
, D) ,The ,function ,to ,convert ,Kelvin ,to ,Celsius ,is ,C(K)=K−273.15. ,- ,CORRECT
,ANSWER-The ,function ,to ,convert ,Kelvin ,to ,Celsius ,is ,C(K)=K−273.15.
Augusta ,will ,spend ,$100 ,dollars ,to ,buy ,some ,$2 ,markers ,and ,$5 ,pens. ,The ,number
,of ,pens ,she ,can ,purchase ,can ,be ,modeled ,by ,P(m)=−0.4m+20, ,where ,m ,is ,the
,number ,of ,markers ,she ,can ,purchase. ,
Which ,statement ,is ,true ,about ,the ,ordered ,pair ,(10, ,16) ,on ,P(m)?
A) ,(10, ,16) ,implies ,that ,Augusta ,can ,purchase ,10 ,markers ,and ,have ,$16 ,left. ,
B) ,(10, ,16) ,implies ,that ,Augusta ,can ,purchase ,10 ,pens ,and ,16 ,markers. ,
C) ,(10, ,16) ,on ,P(m) ,implies ,that ,(16, ,10) ,is ,on ,P(m)'s ,inverse ,function. ,
D) ,(10, ,16) ,implies ,that ,Augusta ,can ,purchase ,10 ,markers ,with ,$16. ,- ,CORRECT
,ANSWER-(10, ,16) ,implies ,that ,Augusta ,can ,purchase ,10 ,pens ,and ,16 ,markers.
Carlos ,runs ,an ,IT ,department ,where ,he ,is ,replacing ,one ,computer ,with ,every ,tablet
,he ,purchases. ,Presently, ,Carlo ,is ,responsible ,for ,30 ,computers. ,Which ,function
,describes ,the ,relationship ,between ,the ,number ,of ,computers, ,C, ,and ,the ,number ,of
,tablets, ,t?
A) ,C(t)=−t+25
B) ,C(t)=t+30
C) ,C(t)=−t−30
D) ,C(t)=−t+30 ,- ,CORRECT ,ANSWER-C(t)=−t+30
Jenice ,is ,hiring ,a ,babysitter ,for ,the ,evening. ,She ,pays ,$5 ,to ,cover ,the ,sitter's
,transportation ,costs, ,and ,$10 ,per ,hour ,of ,babysitting. ,Jenice ,needs ,her ,babysitter ,for
,four ,hours ,this ,Saturday ,night.
Which ,of ,the ,following ,is ,the ,function ,that ,represents ,Jenice's ,babysitting ,costs,
,where ,x ,is ,the ,number ,of ,hours ,the ,babysitter ,works? ,
A) ,C(x)=5x+10
B) ,C(x)=5+4x
C) ,C(x)=10x+5
D) ,C(x)=5x+5 ,- ,CORRECT ,ANSWER-C(x)=10x+5
The ,following ,table ,represents ,the ,time ,of ,four ,friends ,who ,recently ,ran ,in ,a ,5K
,charity ,race.
Runner ,Race ,Time
AL ,18 ,minutes
BR ,16 ,minutes
MC ,25 ,minutes
EV ,22 ,minutes
Which ,option ,correctly ,represents ,the ,first-, ,second-, ,and ,third-place ,runners? ,
A) ,1: ,BR ,2: ,AL ,3: ,EV ,
B) ,1: ,AL ,2: ,BR ,3: ,EV
C) ,1: ,AL ,2: ,BR ,3: ,MC
D) ,1: ,MC ,2: ,EV ,3: ,AL ,- ,CORRECT ,ANSWER-1: ,BR ,2: ,AL ,3: ,EV
Questions and Correct Answers 2025
Harold ,uses ,a ,rideshare ,service ,to ,travel ,from ,the ,airport ,to ,his ,hotel. ,The ,rideshare
,service ,charges ,a ,$5.00 ,flat ,rate, ,and ,an ,additional ,fuel ,fee ,at ,the ,rate ,of ,$0.20 ,per
,mile. ,
If ,F(m) ,models ,the ,charge ,for ,the ,rideshare ,service, ,where ,m ,is ,the ,number ,of ,miles
,driven, ,which ,of ,the ,following ,represent ,the ,amount ,Harold ,has ,to ,pay ,if ,the ,hotel ,is
,12 ,miles ,from ,the ,airport?
A) ,F(12)=60.20, ,which ,suggests ,that ,he ,will ,pay ,$60.20 ,for ,travelling ,12 ,miles.
B) ,F(12)=7.4, ,which ,suggests ,that ,he ,will ,pay ,$7.40 ,for ,travelling ,12 ,miles. ,
C) ,F(7.4)=12, ,which ,suggests ,that ,he ,will ,pay ,$7.40 ,for ,travelling ,12 ,miles.
D) ,F(35)=12, ,which ,suggests ,that ,he ,will ,pay ,$35 ,for ,travelling ,12 ,miles. ,- ,CORRECT
,ANSWER-F(12)=7.4, ,which ,suggests ,that ,he ,will ,pay ,$7.40 ,for ,travelling ,12 ,miles.
Augusta ,has ,$100 ,to ,spend ,on ,markers ,and ,pens. ,Markers ,cost ,$2. ,Pens ,cost ,$5.
,The ,number ,of ,pens ,she ,can ,purchase ,is ,modeled ,by ,the ,function ,p(m)=−0.4m+20,
,where ,m ,is ,the ,number ,of ,markers ,she ,can ,purchase. ,
Find ,the ,inverse ,function ,of ,P(m).
A) ,M(p)=−2.5p−50
B) ,M(p)=−2.5p+50
C) ,M(p)=2.5p+50
D) ,M(p)=2.5p−50 ,- ,CORRECT ,ANSWER-M(p)=−2.5p+50
In ,addition ,to ,Celsius ,and ,Fahrenheit, ,there ,is ,one ,additional ,unit ,of ,measure ,used ,in
,temperature ,called ,Kelvin. ,Temperature ,in ,Kelvin ,can ,be ,calculated ,by ,adding ,273.15
,to ,the ,temperature ,in ,Celsius. ,
What ,is ,a ,correct ,statement ,about ,this ,relationship? ,
A) ,The ,function ,to ,convert ,Celsius ,to ,Kelvin ,is ,K(C)=C−273.15. ,
B) ,The ,function ,to ,convert ,Celsius ,to ,Kelvin ,is ,K(C)=273.15C. ,
C) ,The ,function ,to ,convert ,Kelvin ,to ,Celsius ,is ,C(K)=K+273.15. ,
, D) ,The ,function ,to ,convert ,Kelvin ,to ,Celsius ,is ,C(K)=K−273.15. ,- ,CORRECT
,ANSWER-The ,function ,to ,convert ,Kelvin ,to ,Celsius ,is ,C(K)=K−273.15.
Augusta ,will ,spend ,$100 ,dollars ,to ,buy ,some ,$2 ,markers ,and ,$5 ,pens. ,The ,number
,of ,pens ,she ,can ,purchase ,can ,be ,modeled ,by ,P(m)=−0.4m+20, ,where ,m ,is ,the
,number ,of ,markers ,she ,can ,purchase. ,
Which ,statement ,is ,true ,about ,the ,ordered ,pair ,(10, ,16) ,on ,P(m)?
A) ,(10, ,16) ,implies ,that ,Augusta ,can ,purchase ,10 ,markers ,and ,have ,$16 ,left. ,
B) ,(10, ,16) ,implies ,that ,Augusta ,can ,purchase ,10 ,pens ,and ,16 ,markers. ,
C) ,(10, ,16) ,on ,P(m) ,implies ,that ,(16, ,10) ,is ,on ,P(m)'s ,inverse ,function. ,
D) ,(10, ,16) ,implies ,that ,Augusta ,can ,purchase ,10 ,markers ,with ,$16. ,- ,CORRECT
,ANSWER-(10, ,16) ,implies ,that ,Augusta ,can ,purchase ,10 ,pens ,and ,16 ,markers.
Carlos ,runs ,an ,IT ,department ,where ,he ,is ,replacing ,one ,computer ,with ,every ,tablet
,he ,purchases. ,Presently, ,Carlo ,is ,responsible ,for ,30 ,computers. ,Which ,function
,describes ,the ,relationship ,between ,the ,number ,of ,computers, ,C, ,and ,the ,number ,of
,tablets, ,t?
A) ,C(t)=−t+25
B) ,C(t)=t+30
C) ,C(t)=−t−30
D) ,C(t)=−t+30 ,- ,CORRECT ,ANSWER-C(t)=−t+30
Jenice ,is ,hiring ,a ,babysitter ,for ,the ,evening. ,She ,pays ,$5 ,to ,cover ,the ,sitter's
,transportation ,costs, ,and ,$10 ,per ,hour ,of ,babysitting. ,Jenice ,needs ,her ,babysitter ,for
,four ,hours ,this ,Saturday ,night.
Which ,of ,the ,following ,is ,the ,function ,that ,represents ,Jenice's ,babysitting ,costs,
,where ,x ,is ,the ,number ,of ,hours ,the ,babysitter ,works? ,
A) ,C(x)=5x+10
B) ,C(x)=5+4x
C) ,C(x)=10x+5
D) ,C(x)=5x+5 ,- ,CORRECT ,ANSWER-C(x)=10x+5
The ,following ,table ,represents ,the ,time ,of ,four ,friends ,who ,recently ,ran ,in ,a ,5K
,charity ,race.
Runner ,Race ,Time
AL ,18 ,minutes
BR ,16 ,minutes
MC ,25 ,minutes
EV ,22 ,minutes
Which ,option ,correctly ,represents ,the ,first-, ,second-, ,and ,third-place ,runners? ,
A) ,1: ,BR ,2: ,AL ,3: ,EV ,
B) ,1: ,AL ,2: ,BR ,3: ,EV
C) ,1: ,AL ,2: ,BR ,3: ,MC
D) ,1: ,MC ,2: ,EV ,3: ,AL ,- ,CORRECT ,ANSWER-1: ,BR ,2: ,AL ,3: ,EV
