Question

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Piz
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15. MP Use Math Tools Pizza Palace charges $x for a large cheese pizza
and an additional fee based on the number of toppings ordered.
a. Two large cheese pizzas and three large pepperoni pizzas are
ordered. Write and simplify an expression that represents the
total cost total cost 3(* *0.75) + 2*, 85x +225
b. Write and simplify an expression that represents the total cost of
eight large pizzas, if two are cheese and six have four toppings
each.
6 (x+3 ) + 2x ; $8x +18
C. Elsa orders three large cheese pizzas, a large pepperoni and
mushroom pizza, and a large green pepper and onion pizza.
Write and simplify an expression that represents the total cost.
add 3
add 4

Answer 1

Part a)
`\$5x+\$2,25`

Part b)
`\$8x+\$18`

Part c)
`\$5x+\$3`

Explanation:

The complete question in the attached figure

Part a) Two large cheese pizzas and three large pepperoni pizzas are

ordered. Write and simplify an expression that represents the

total cost total cost

we know that

The total cost is equal to the cost of two large cheese pizzas plus the cost of three large pepperoni pizzas

step 1

The cost of two large cheese pizzas is

`2x`

step 2

The cost of three large pepperoni pizzas is

`3(x+0.75)` ----> looking at the table for one topping

therefore

The total cost is

`2x+3(x+0.75)`

`2x+3x+2,25`

`\$5x+\$2,25`

Part b) Write and simplify an expression that represents the total cost of

eight large pizzas, if two are cheese and six have four toppings

each.

we know that

The total cost is equal to the cost of two large cheese pizzas plus the cost of six large pizzas with four toppings

step 1

The cost of two large cheese pizzas is

`2x`

step 2

The cost of six large pizzas with four toppings is

`6(x+3)` ----> looking at the table for four toppings

therefore

The total cost is

`2x+6(x+3)`

`2x+6x+18`

`\$8x+\$18`

Part c) Elsa orders three large cheese pizzas, a large pepperoni and

mushroom pizza, and a large green pepper and onion pizza.

Write and simplify an expression that represents the total cost

we know that

The total cost is equal to the cost of three large cheese pizzas plus the cost of two large pizzas with two toppings each

step 1

The cost of three large cheese pizzas is

`3x`

step 2

The cost of two large pizzas with two toppings each is

`2(x+1.50)` ----> looking at the table for two toppings

therefore

The total cost is

`3x+2(x+1.50)`

`3x+2x+3`

`\$5x+\$3`