Lawson Henry
07/27/2023 · Middle School

4. Frankie works as a pet sitter all week long but he is more in demand on some days than others. He posts his rates as \( \$ 12 \) per visit plus a surcharge, which depends on the day. On his busiest days, Frankie can serve 8 houses for pet sitting. He is interested in his daily profits. a. Define variables for the two quantities that are changing in this scenario. b. Write an equation that represents the maximum total profits based on the surcharge for that day. Write your equation in the form a(x + b) = c. c. Beverly and Sean are trying to determine Frankie's Saturday surcharge per house if he makes \( \$ 142 \). Beverly thinks the first step in solving the equation is to divide by the coefficient of the parentheses. Sean thinks the first step is to distribute that value through the parentheses. Who's corroct? d. Determine the Saturday surcharge by solving the equation you wrote in part (b). What is the total fee Frankie charges per house for pet sitting on a Saturday?

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- a. \( x \) = surcharge per visit, \( P \) = total profit - b. \( 8(x + 12) = P \) - c. Beverly is correct. - d. Saturday surcharge: \( \$5.75 \), total fee: \( \$17.75 \)

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