Question

Jessica is on a website that lets her build her own pizza for delivery. She has a budget of $14 (Not including tax or tip) to spend on her pizza. The pizza she wants costs $9.50 and includes 1 topping of her choice. She can also add additional toppings for $0.75 each.

We have found that Jessica can model this situation using the inequality

0.75(t−1)+9.50≤14 where t ≥ 1



Which of the following correctly states the amount of toppings Jessica can put on her pizza.

Select one:
a. Jessica can have up to 8 toppings on her pizza
b. Jessica can have up to 5 toppings on her pizza
c. Jessica can have up to 6 toppings on her pizza
d. Jessica can have up to 7 toppings on her pizza

Answer 1

d. Jessica can have up to 7 toppings on her pizza

Explanation:

We know that the inequality that gives us the number of toppings Jessica can put on her pizza is
`0.75(t-1)+9.50\leq 14` where
`t\geq 1`, so, to find the number of topics we just need to solve the inequality.

Let's do it step-by-step

Step 1. Subtract 9.50 from both sides of the inequality

`0.75(t-1)+9.50-9.50\leq 14-9.50`

`0.75(t-1)\leq 4.50`

Step 2. Distribute 0.75 to the two terms inside the parenthesis

`0.75t-0.75\leq 4.50`

Step 3. Add 0.75 to both sides of the inequality

`0.75t-0.75+0.75\leq 4.50+0.75`

`0.75t\leq 5.25`

Step 4. Divide both sides of the inequality bu 0.75

`(0.75t)/(0.75) \leq (5.25)/(0.75)`

`t\leq 7`

Jessica can put up to 7 topping on her pizza.

We can conclude that the correct answer is d. Jessica can have up to 7 toppings on her pizza