Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a printing service charges a set-up fee of $10.75 for each order and 25…

Question

a printing service charges a set-up fee of $10.75 for each order and 25 cents more for each copy. the total cost, c (in dollars), for an order of x copies is given by the following.

c = 0.25x + 10.75

what is the total cost for an order of 30 copies?

dollars

Explanation:

Step1: Identify the value of x

We know that the number of copies \( x = 30 \).

Step2: Substitute x into the cost formula

The cost formula is \( C = 0.25x + 10.75 \). Substitute \( x = 30 \) into the formula:
\( C = 0.25\times30 + 10.75 \)

Step3: Calculate the multiplication part

First, calculate \( 0.25\times30 \). We know that \( 0.25=\frac{1}{4} \), so \( \frac{1}{4}\times30 = 7.5 \).

Step4: Calculate the total cost

Now, add the setup fee: \( C = 7.5+ 10.75 \).
\( 7.5+10.75 = 18.25 \)

Answer:

18.25