9 from Unit 2, Lesson 9
Noah orders an extra-large pizza. It costs for the pizza plus for each topping.
He orders an extra-large pizza with toppings that costs a total of dollars.
Select all of the equations that represent the relationship between the number of toppings
and total cost of the pizza with toppings.
A.
B.
C.
D.
E.

Ask by Sandoval Crawford. in the United States

Oct 22,2024

Question

9 from Unit 2, Lesson 9
Noah orders an extra-large pizza. It costs for the pizza plus for each topping.
He orders an extra-large pizza with toppings that costs a total of dollars.
Select all of the equations that represent the relationship between the number of toppings
and total cost of the pizza with toppings.
A.
B.
C.
D.
E.

Ask by Sandoval Crawford. in the United States

Oct 22,2024

UpStudy AI · Accepted Answer

To find the correct equations that represent the relationship between the number of toppings $$ t $$ and the total cost $$ d $$ of the pizza, we can start by analyzing the cost structure given in the problem.

The cost of the pizza is $$ \$12.49 $$ and each topping costs $$ \$1.50 $$. Therefore, the total cost $$ d $$ can be expressed as:

$$
d = 12.49 + 1.50t
$$

Now, let's evaluate each of the provided options:

A. $$ 12.49 + t = d $$  
This is incorrect because it does not account for the cost of the toppings correctly.

B. $$ 12.49 + 1.50t = d $$  
This is correct as it matches the derived equation for total cost.

C. $$ 12.49 + 1.50d = t $$  
This is incorrect because it incorrectly relates $$ t $$ to $$ d $$.

D. $$ 12.49 = d + 1.50t $$  
This is incorrect because it rearranges the equation incorrectly.

E. $$ t = \frac{d - 12.49}{1.5} $$  
This is correct as it rearranges the original equation to solve for $$ t $$.

Thus, the correct equations that represent the relationship are:

- B. $$ 12.49 + 1.50t = d $$
- E. $$ t = \frac{d - 12.49}{1.5} $$
B. $$ 12.49 + 1.50t = d $$ E. $$ t = \frac{d - 12.49}{1.5} $$

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