Question

A tree farm charges $75.00 for a 5-foot orange tree and $50.00 for delivery regardless of the number of trees purchased. Which equation expresses the total cost, C, in terms of the number of 5-foot trees, t, purchased?

A) C= 75 + 50t
B) C= 75t + 50
C) C = 75t + 5
D) C = 75 + 5t

Answer 1

The total cost, C, for purchasing the number of 5-foot orange trees, including delivery, is represented by the equation C = 75t + 50.

Step-by-step explanation:

The equation that expresses the total cost, C, in terms of the number of 5-foot trees, t, purchased is C = 75 + 50t (Option A).

This equation includes the cost of one 5-foot orange tree, which is $75.00, and a flat delivery fee of $50.00 regardless of the number of trees purchased.

To calculate the total cost, you simply add the cost of the trees and the delivery fee, with the delivery fee being a constant value added to the cost of each tree.

The equation that expresses the total cost, C, in terms of the number of 5-foot trees, t, purchased at a tree farm is C = 75t + 50. This equation is derived by multiplying the number of trees, t, by the cost per tree, which is $75, and then adding the flat delivery cost of $50 which does not depend on the number of trees purchased. Therefore, for every additional tree purchased, the cost increases by $75, while the delivery cost remains constant, resulting in the total cost being the sum of these two amounts.