Question

Charlie, a school bus driver, takes pride in safely transporting neighborhood children to school. At the beginning of the school year, he received a much newer bus and recorded the mileage. After 1 school day, the bus had 30 miles, and after 3 school days, it had 50 miles. In this relationship, x represents the number of school days Charlie has been driving his new bus, and y represents the total number of miles the bus has been driven.

Which of the following equations represents the relationship between x and y?

a) y=10x
b) y=15x
c) y=20x
d) y=30x

Answer 1

The linear equation representing the relationship between the number of school days (x) and the total miles driven (y) is y = 10x, as calculated by the slope obtained from the given data points. Thus, the equation is y = 10x, which matches option a) y=10x.

Step-by-step explanation:

The question is related to finding the linear equation that represents the relationship between the number of school days (x) and the total miles driven (y) by a school bus driver named Charlie, who takes pride in safely transporting neighborhood children to school. Using the given points, after 1 school day (x=1) the bus had 30 miles (y=30), and after 3 school days (x=3), it had 50 miles (y=50), we can find the slope (m) of the line. The slope m is calculated by the rise over run formula, which in this case is the change in miles (20 miles) divided by the change in days (2 days), giving us m = 10. Thus, the equation is y = 10x, which matches option a) y=10x.