Answer:
The function would be linear because the rate of change is constant.
Step-by-step explanation:
Given
[tex]Base= \$89.00[/tex]
[tex]Rate = \$0.10[/tex] per minute
See attachment for complete question and options
First, we write the function that calculates the cost (C(t)) for t minutes.
This is calculated as:
[tex]Cost = Base + Rate * t[/tex]
[tex]C(t) = 89.00 + 0.10 * t[/tex]
[tex]C(t) = 89.00 + 0.10t[/tex]
Rewrite as:
[tex]C(t) = 0.10t + 89.00[/tex]
A function that has the above format is referred to as a linear function which has the general format
[tex]f(x) = mx + b[/tex]
Where
m represents the slope/rate and it is constant
From the list of given options, (a) is correct.
