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

C(m) = 45m + 26

This above, if you don't understand, means

C= cost
M= each cubic yard of mulch

Answer 2

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

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*\text{x}`

Delivery charge
`= 26`

Now,

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

`\text{c} = 45*\text{x} + 26`

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