Select all the true statements:

Select all the expressions that have the same value as \(12^4\).

Elena and Diego are evaluating \((3 \boldcdot 2)^3\).

1. Diego begins by evaluating \(3 \boldcdot 2\), which is 6. His next step is to find \(6^3\). Does Diego’s method work? Explain your reasoning.
2. Elena starts by writing \((3 \boldcdot 2)^3 = 3^3 \boldcdot 2^3\). Her next step is to multiply \(3^3\) by \(2^3\). Does Elena’s method work? Explain your reasoning.

The cost of cheese at three stores is a function of the weight of the cheese. The cheese is not prepackaged, so a customer can buy any amount of cheese.

• Store A sells the cheese for \(a\) dollars per pound.
• Store B sells the same cheese for \(b\) dollars per pound, and a customer has a coupon for \$5 off the total purchase at that store.
• Store C is an online store, selling the same cheese at \(c\) dollars per pound, but with a \$10 delivery fee.

This graph shows the total cost functions for stores A, B, and C after discounts are applied.

Coordinate plane, horizontal, weight of cheese in pounds, 0 to 12 by 2, vertical, cost in dollars, 0 to 40 by 10. Line j, from 0 comma 10 to 13 point 5 to 50. Line l, origin to 12 point 5. Line k from 1 comma 0 to 11 comma 60. Lines j and l meet at 10 comma 40, lines k and l meet at 5 comma 20, lines j and k meet at 7 comma 35.

1. Match Stores A, B, and C with Graphs \(j\), \(k\), and \(\ell\).

2. What is the price per pound for cheese at each store?
3. How many pounds of cheese does the coupon for Store B pay for?
4. At which store will the customer pay the lowest amount for a half a pound of cheese?
5. A customer wants to buy 5 pounds of cheese for a party. Which store has the lowest total purchase price for 5 pounds of cheese?
6. How many pounds would a customer need to order to make Store C a good option?