Question

1 large cheese pizzas cost $5 each and large one - topping pizzas cost $6 each. write an equation that represents the total cost, t, of c large cheese pizzas and d large one - topping pizzas. 2 jada plans to serve milk and healthy cookies for a book club meeting. she is preparing 12 ounces of milk and 4 cookies per person. including herself, there are 15 people in the club. a package of cookies contains 24 cookies and costs $4.50. a 1 - gallon jug of milk contains 128 ounces and costs $3. let n represent number of people in the club, m represent the ounces of milk, c represent the number of cookies, and b represent jadas budget in dollars. circle all of the equations that could represent the quantities and constraints in this situation. a m = 12(15) b 3m + 4.5c = b c 4n = c d 4(4.50) = c e b = 2(3) + 3(4.50)

Explanation:

Question 1

Step1: Calculate cost of cheese pizzas

The cost of \(c\) large cheese pizzas is \(5c\) (since each cheese pizza costs \(\$5\)).

Step2: Calculate cost of one - topping pizzas

The cost of \(d\) large one - topping pizzas is \(6d\) (since each one - topping pizza costs \(\$6\)).

Step3: Calculate total cost

The total cost \(T\) is the sum of the cost of cheese pizzas and one - topping pizzas. So, \(T = 5c+6d\).

• Option A:

Since \(12\) ounces of milk per person and there are \(15\) people, the total ounces of milk \(m=12\times15\). This equation is correct.

• Option B:

The cost of milk is based on the number of jugs (not ounces) and the cost of cookies is based on the number of packages (not individual cookies). So, \(3m + 4.5c=b\) is incorrect.

• Option C:

If there are \(n\) people and \(4\) cookies per person, then the number of cookies \(c = 4n\). This equation is correct.

• Option D:

\(4(4.50)\) represents the cost of \(4\) packages of cookies (not the number of cookies). So, \(4(4.50)=c\) is incorrect.

• Option E:

Number of milk jugs: \(\frac{12\times15}{128}\approx2\) (since \(12\times15 = 180\) ounces and each jug has \(128\) ounces). Number of cookie packages: \(\frac{4\times15}{24}=2.5\approx3\). Cost \(b=2\times3+3\times4.50\). This equation is correct.

Answer:

\(T = 5c + 6d\)

Question 2