Question

The fare charged by a taxi company is described by the linear equation y=3.5x +4.5, where x is the number of miles traveled and y is the tota cost. What is the rate of change, in dollars per mile?

$3.50 per mile

$10.00 per mile

$4.50 per mile

$8.00 per mile​

Answer 1

• y=3.5x+4.5

Compare to slope intercept form of line

• Slope=m=3.5

Now

Rate of change=slope

Rate of change

• $3.50 per mile

Answer 2

$3.50 per mile

Explanation:

Slope-intercept form of a linear equation:
`y=mx+b`

(where m is the slope and b is the y-intercept)

Given linear equation:
`y=3.5x+4.5`

(where x is the number of miles traveled and y is the total cost)

The rate of change is the slope of the linear equation.

Therefore, the rate of change is $3.50 per mile.