C957 Applied Algebra - Module 1 Quiz Questions And Answers

C957 Applied Algebra - Module 1 Quiz Questions And Answers A rental car company charges a flat fee of $39 for a car rental. They charge an additional $0.62 for each mile driven. Which function F represents the cost to rent a car, where m represents the number of miles? A. F(m)=39+0.62m B. F(m)=39+0.62+m C. F(m)=39m+0.62 D. F(m)=(39+0.62)m - ANS A You just started a lawn company. You spent $200 in initial costs, and you earn $150 per month. Which function can be used to predict your profit after x months? A. F(x)=150x+200 B. F(x)=200x-150 C. F(x)=200x+150 D. F(x)=150x-200 - ANS D Which represents the inputs and outputs of a function? A. Input: Number of vacation days; Output: Annual salary B. Input: Speed of car; Output: Distance traveled in one hour C. Input: Scores on an algebra assignment; Output: The number of students in an algebra class D. Input: The number of the news channel; Output: The number of TV shows on at 7:00 p.m. - ANS B Which variable is a qualitative variable? A. Your child's name B. Your shirt color C. Your salary D. Your bank account number - ANS B A cell phone company charges a fee of $90 per month of service. A customer's cost, C, for service can be represented by the function C(m)=90m, where m represents the number of months. Find the total cost for six months of service. A. $5,400 B. $90 C. $540 D. $96 - ANS C The output of toy cars in a toy factory is affected by the number of employees working per shift. Which variable is the dependent variable? A. The number of toy cars produced B. The number of employees working each shift - ANS A The price of gasoline is $2.50 per gallon. The cost, C, can be represented by the function C(n)=2.5n, where n is the number of gallons of gasoline. What is the inverse function? A. The inverse function gives the number of gallons of gasoline as a function of the cost when the price of gasoline varies. B. The inverse function gives the cost as a function of the number of gallons of gasoline, when the price of gasoline is $2.50 per gallon. C. The inverse function gives the number of gallons of gasoline as a function of the cost when the price of gasoline is $2.50 per gallon. D. The inverse function gives the price of gasoline as a function of the number of gallons of gasoline. - ANS C Apples are on sale for $1.65 per pound at the grocery store. The equation c=1.65p gives the cost c for apples in terms of the weight p (in pounds). Write this equation so it gives the weight p in terms of the cost c. A. p=1.65c B. p=c−1.65 C. 1.65p=c D. p=c/1.65 - ANS D You are an IT manager with six people on your team. Each team member works 40 guaranteed hours a week. If a new software tool or platform is rolled out, more help is needed for customer support, and your team members may work a few hours of overtime.