Josh's club at school is selling suckers for a fundraiser. They sold the suckers for $.50$.50 a piece but had to pay a shipping cost of $30$30. The function for their sucker sales is P(s)=.50s−30𝑃(𝑠)=.50𝑠−30, where s𝑠 is the number of suckers sold and P𝑃 represents the profit made. If they sold 150150 suckers, how much profit would they make? Josh's club would make $$ Answer 1 Question 20 for selling 150150 suckers.
Question
Josh's club at school is selling suckers for a fundraiser. They sold the suckers for .50 a piece but had to pay a shipping cost of 30. The function for their sucker sales is P(s)=.50s−30𝑃(𝑠)=.50𝑠−30, where s𝑠 is the number of suckers sold and P𝑃 represents the profit made. If they sold 150150 suckers, how much profit would they make? Josh's club would make Answer 1 Question 20 for selling 150150 suckers.
Solution
To find out how much profit Josh's club would make, we need to substitute the number of suckers sold (150) into the profit function P(s)=.50s−30.
Step 1: Substitute s with 150 in the equation. P(150)=.50*150−30
Step 2: Multiply .50 by 150, which equals 75. P(150)=75−30
Step 3: Subtract 30 from 75, which equals 45.
So, Josh's club would make a profit of $45 for selling 150 suckers.
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