Question

A landscaping company charges $45 per cubic yard of mulch plus a delivery charge of $26. find a linear function which computes the total cost c (in dollars) to deliver x cubic yards of mulch.

Answer 1

Answer:

$\text{c} = 45\text{x} + 26$

Step-by-step explanation:

Given: A landscaping company charges $45 per cubic yard of mulch plus a delivery charge of $26.

To find: A linear function which computes the total cost $\text{c}$ (in dollars) to deliver $\text{x}$ cubic yards of mulch.

Solution:

A landscaping company charges $45 per cubic yard of mulch.

The company also charges a delivery charge of $26.

To find a linear function which computes the total cost $\text{c}$ (in dollars) to deliver $\text{x}$ cubic yards of mulch, we need to add the total cost for mulch and the delivery charge together.

Total cost for $\text{x}$ cubic yards of mulch $= 45\times\text{x}$

Delivery charge $= 26$

Now,

$\text{Total cost} = \text{Cost of mulch} + \text{Delivery charge}$

$\text{c} = 45\times\text{x} + 26$

Therefore, the linear function which computes the total cost is $\text{c} = 45\text{x} + 26$.

Answer 2

C(m) = 45m + 26

This above, if you don't understand, means

C= cost
M= each cubic yard of mulch