Question

The total amount charged by a delivery service is described by the linear equation y=2.5x+7, where x is the number of miles traveled and y is the total cost. What is the rate of change in cost per mile?

$10.00 per mile

$9.50 per mile

$7.00 per mile

$2.50 per mile​

Answer 1

See

• y=2.5x+7

Compare to slope intercept form of line y=mx+b

• Slope=m=2.5

Rate of change is slope

So

it's

• $2.50 per mile

Answer 2

$2.50 per mile

Explanation:

Given that,

→ y = mx + b

→ y = 2.5x + 7

The rate of change in cost per mile is,

→ slope

→ m

→ [ $2.5 ]

Hence, rate of change in cost is $2.5.