Question

Lorna and Lupe are playing a ring toss game at the fair. The cost to play the game depends on the number of rings purchased. The cost is described in the piecewise function, where x is the number of rings purchased. Lorna and Lupe each want to purchase 5 rings. What is the difference in price if they each separately purchase 5 rings compared to making one purchase of 10 rings? Round the answer to the nearest cent.

f(x)=⎧⎩⎨⎪⎪2x,1.5x,1.25x, 0≤x≤34≤x≤7x≥8


(1 point)
They would save a total of $__ if they made one purchase of 10 rings.

Answer 1

For 5 rings each: f(5) = 1.5·5 = $7.50, so two separate purchases cost 2·7.50 = $15.00.
For one purchase of 10 rings: f(10) = 1.25·10 = $12.50.
Difference = 15.00 − 12.50 = $2.50.

They would save $2.50.