Last year, Pinwheel Industries introduced a new toy. It cost $5200 to develop the toy and $10 to manufacture each toy. Fill in the blanks below as appropriate.

A.) Give a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys:
C=  

B.) The total cost to produce n=1350 toys is $.

C.) With $36700, a total of  toys can be produced.

We are given the following details:

- The development cost is a fixed cost of \$5200.
- Each toy costs \$10 to manufacture.
- $ n $ represents the number of toys produced.
  
### A.) **Linear equation for total cost**

The total cost $ C $ includes the fixed cost of \$5200 and the variable cost of \$10 per toy. Thus, the linear equation in the form $ C = mn + b $ is:

\[
C = 10n + 5200
\]

### B.) **Total cost to produce 1350 toys**

Substitute $ n = 1350 $ into the equation $ C = 10n + 5200 $:

\[
C = 10(1350) + 5200 = 13500 + 5200 = 18700
\]

So, the total cost to produce 1350 toys is **\$18,700**.

### C.) **Number of toys that can be produced with \$36,700**

We are given that the total cost is \$36,700. Use the equation $ C = 10n + 5200 $, and set $ C = 36700 $:

\[
36700 = 10n + 5200
\]

Solve for $ n $:

\[
36700 - 5200 = 10n
\]
\[
31500 = 10n
\]
\[
n = \frac{31500}{10} = 3150
\]

So, **3150 toys** can be produced with \$36,700.

---

Do you want further details or have any questions? Here are some related questions to explore:

1. What if the fixed cost increased to \$6000? How would the equation change?
2. How would the cost equation change if it costs \$12 to manufacture each toy?
3. How many toys can be produced with \$50,000?
4. If 500 toys were produced, what would the total cost be?
5. How does the number of toys produced affect the total cost?

**Tip:** When working with linear cost functions, the fixed cost is the y-intercept, and the per-unit cost is the slope.

Last year, Pinwheel Industries introduced a new toy. It cost $5200 to develop the toy and $10 to manufacture each toy. Fill in the blanks below as appropriate.
A.) Give a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys:
C=
B.) The total cost to produce n=1350 toys is $.
C.) With $36700, a total of toys can be produced.

Learn how to solve a linear cost function for toy production at Pinwheel Industries. This problem involves calculating the total cost of production with a fixed cost of $5200 and a variable cost of $10 per toy. Suitable for students in Grades 6-8.

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