Question

keisha rents a scooter to get to the beach. the rental company charges $2 per mile plus a fee of $20. donovan rents a bike to get to the beach. the equation below shows the cost in dollars, y, as a function of the miles donovan travels, x. donovan: y = x + 28 compare the rates of change of the two functions. keisha’s rental costs $2 per mile. donovan’s rental costs $? per mile. the rate of change of keisha’s function is? the rate of change of donovan’s function.

Explanation:

Step1: Analyze Keisha's rate

Keisha's cost: $2 per mile (given as rate per mile). So her rate of change (slope) is $2.

Step2: Analyze Donovan's rate

Donovan's cost function: \( y = x + 28 \). In slope - intercept form \( y=mx + b \), \( m \) is the slope (rate of change). Here, \( m = 1 \), so his rate of change is $1 per mile.

Step3: Compare the rates

Keisha's rate: 2, Donovan's rate: 1. So Keisha's rate of change is greater than Donovan's.

Answer:

Donovan's rental costs $1 per mile. The rate of change of Keisha’s function is greater than the rate of change of Donovan’s function.