University of Colorado-Boulder MATH 1300 Homework 1
1. Three runners compete in a 100-meter race. The graph depicts the distance run as a function
of time for each runner. Describe in words what the graph tells you about this race. Who won the
race? Did each runner finish the race?
2. An electricity company charges its customers a base rate of $10 a month, plus 6 cents per
kilowatt-hour (kWh) for the first 1200 kWh and 7 cents per kWh for all usage over 1200
kWh. Express the monthly cost E as a function of the amount x of electricity used. Then
graph the function E for 0 ≤ x ≤ 2000.
3. Find the expression for the function whose graph is the given curve.
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1. Three runners compete in a 100-meter race. The graph depicts the distance run as a function
of time for each runner. Describe in words what the graph tells you about this race. Who won the
race? Did each runner finish the race?
2. An electricity company charges its customers a base rate of $10 a month, plus 6 cents per
kilowatt-hour (kWh) for the first 1200 kWh and 7 cents per kWh for all usage over 1200
kWh. Express the monthly cost E as a function of the amount x of electricity used. Then
graph the function E for 0 ≤ x ≤ 2000.
3. Find the expression for the function whose graph is the given curve.
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