Question

At Polynomials Pizza, a large cheese pizza costs $6.50. Each additional topping for the pizza costs $1.45. The total for a large pizza that Brandon ordered was $13.75. PART A Define the variable t = PART B Write the equation. PART C How many toppings did Brandon have on his pizza? Enter answer

Answer 1

Answer:x

=

5

toppings

Step-by-step explanation:Total cost of cheese pizza:

$

10.75

Any additional topping adds:

+

$

1.25

So a cheese pizza with

1

additional topping is:

$

10.75

+

$

1.25

=

$

12.00

A cheese pizza with

2

additional toppings is:

$

10.75

+

$

1.25

+

$

1.25

=

$

10.75

+

2

×

$

1.25

=

$

13.25

A cheese pizza with

3

additional toppings is:

$

10.75

+

$

1.25

+

$

1.25

+

$

1.25

$

10.75

+

3

×

$

1.25

=

$

14.50

If you pay attention to the pattern you can see that, for any number of toppings, say

x

toppings, the price is going to be:

$

10.25

+

x

×

$

1.25

We are told the final cost is

$

17.00

. That is

$

10.25

+

x

×

$

1.25

=

$

17.00

Subtract

$

10.25

from both sides

$

10.25

−

$

10.25

+

x

×

$

1.25

=

$

17.00

−

$

10.25

x

×

$

1.25

=

$

6.25

Divide both sides by

$

1.25

x

×

$

1.25

$

1.25

=

$

6.25

$

1.25

x

=

5

Answer 2

A) t=amount of toppings brandon ordered
B) 6.50+1.45t=13.75
C) brandon had five toppings
13.75-6.50= 7.25
7.25/1.45= 5