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 \(\text{c} = 45\text{x} + 26\).
