Answer:
[tex]\text{c} = 45\text{x} + 26[/tex]
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 [tex]\text{c}[/tex] (in dollars) to deliver [tex]\text{x}[/tex] 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 [tex]\text{c}[/tex] (in dollars) to deliver [tex]\text{x}[/tex] cubic yards of mulch, we need to add the total cost for mulch and the delivery charge together.
Total cost for [tex]\text{x}[/tex] cubic yards of mulch [tex]= 45\times\text{x}[/tex]
Delivery charge [tex]= 26[/tex]
Now,
[tex]\text{Total cost} = \text{Cost of mulch} + \text{Delivery charge}[/tex]
[tex]\text{c} = 45\times\text{x} + 26[/tex]
Therefore, the linear function which computes the total cost is [tex]\text{c} = 45\text{x} + 26[/tex].
