Question

ABC Taxi charges riders a base fare and a charge per mile. The current rate is a base fare of $3.00 plus $2.50 per mile. Michael wants to determine a function he can use to predict his transportation costs to travel around the city. Write a linear function to describe the cost of using ABC Taxi service for a ride around the city and represent the situation on a graph.

Answer 1

T = 3.00 + 2.50d

Step-by-step explanation:

Given;

Base fare = $3.00

Per mile charge = $2.50

To write a linear function, use the general form of linear functions:

f(x) = a + bx

Now let's rewrite the equation above:

T = z + cd

Where, T represents the total cost, z represents the base fare, c represents cost per mile and d represents the distance covered.

Substituing values in the equation, we have linear equation as:

T = 3.00 + 2.50d

To represent the situation on a graph let's find corresponding values of T for values of d.

At, d = 1 mile

T = 3.00 + 2.50(1)

T = 5.50

At d = 2 miles

T = 3.00 + 2.50(2)

T = 8.00

At d = 3 miles

T = 3.00 + 2.50(3)

T = 10.50

Now let's plot the graph: