Question

reasoning the cost of making copies at store w is $9 regardless of the number of copies. the cost of making copies at store z is 70¢ per copy plus a $2 charg use of the machine. the total cost, c, of making n copies at either store can be represented by an equation. write and graph a system to find how many copies yo make for the cost to be the same at both stores. use pencil and paper. if you have to make a small number of copies which store should you go to? if you have to large number of copies which store should you go to? explain. store z c = 2 b. store w c = 9 store z c = 0.70n - 2 c. store w c = 0.70n + 2 store z c = 9 d. store w c = 9 store z c = 0.70n + 2 graph the system of equations. choose the correct answer below. a. b. c. d.

Explanation:

Step1: Define cost equations

Store W: $c = 9$
Store Z: $c = 0.70n + 2$

Step2: Find equal cost point

Set $9 = 0.70n + 2$
Subtract 2: $7 = 0.70n$
Solve for $n$: $n = \frac{7}{0.70} = 10$

Step3: Analyze small/large copy costs

For $n < 10$: Test $n=5$
Store W: $c=9$, Store Z: $c=0.70(5)+2=5.5$
For $n > 10$: Test $n=20$
Store W: $c=9$, Store Z: $c=0.70(20)+2=16$

Step4: Match correct graph

Store W: Horizontal line $c=9$
Store Z: Line with y-intercept 2, slope 0.70, intersecting at $n=10$

Answer:

Correct equation system: D. Store W $c=9$, Store Z $c=0.70n + 2$
Correct graph: B

• Number of copies for equal cost: 10
• Small number of copies ($n<10$): Choose Store Z (lower cost)
• Large number of copies ($n>10$): Choose Store W (lower cost)