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