(c) (d) , so if the company only produced and sold 1500 dolls, they would lose $3,000. 14. This question assesses the student’s ability to create linear functions, solve systems of linear equations, and combine linear functions in context. (a) The costs for each game and allowance/savings over the specified periods are: Game 2 5 7 m months months months months played Pilot $75 $75 $75 = S(m) $75 Puzzles of Gold $25 + $25 + $25 + = P(m) $10(2)= $10(5) $10(7) $25 + $45 = $75 = $95 $10m World of Cars $25(2) $25(5) $25(7) = W(m) = $50 = $125 = $175 $25m Least Cost? Puzzles Space Space of Gold Pilot Pilot & Puzzles of Gold Allowance/Savings = A(m) $50 + $15(m 1) – or A(m) = $35 + $15m (b,c) A graph would be best to answer this part, but students may use a table or solve inequalities to justify their answer.
(c) (d) , so if the company only produced and sold 1500 dolls, they would lose $3,000. 14. This question assesses the student’s ability to create linear functions, solve systems of linear equations, and combine linear functions in context. (a) The costs for each game and allowance/savings over the specified periods are: Game 2 months 5 months 7 months m months played Pilot $75 $75 $75 S(m) = $75 Puzzles of Gold $25 + $10(2)= $45 $25 + $10(5) = $75 $25 + $10(7) = $95 P(m) = $25 + $10m World of Cars $25(2) = $50 $25(5) = $125 $25(7) = $175 W(m) = $25m Least Cost? Puzzles of Gold Space Pilot & Puzzles of Gold Space Pilot Allowance/Savings A(m) = $50 + $15(m – 1) or A(m) = $35 + $15m (b,c) A graph would be best to answer this part, but students may use a table or solve inequalities to justify their answer.