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word problems: example 10: you and your friends have a total of $12 to …

Question

word problems: example 10: you and your friends have a total of $12 to spend on a pizza. a large pizza with cheese costs $8 plus $0.40 for each additional topping, tax included. write an inequality to find the number of toppings you can afford.

Explanation:

Step1: Define the variable

Let \( t \) be the number of additional toppings.

Step2: Calculate total cost

The cost of the pizza is the base cost (\$8) plus the cost of toppings (\$0.40 per topping). So the total cost \( C = 8 + 0.40t \).

Step3: Set up the inequality

Since the total money to spend is \$12, the total cost must be less than or equal to \$12. So the inequality is \( 8 + 0.40t \leq 12 \).

Answer:

The inequality is \( 8 + 0.40t \leq 12 \) (where \( t \) is the number of additional toppings)