Last week Alice spent $18.25 to bowl 5 games. This week she spent $21.90 to bowl 6 games. Alice owns her bowling balls and shoes, so she only has to pay for each game that she bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality (unit rate) to bowl one game?

Answer

5.0/5

23

Let's find the unit rate stemming from $18 for 4 games:

$18

 =  $4.50/game

4 games

Let's do the same for $27 for 6 games:

$27

= $4.50/game (same as before)

 6 g

Thus, the const. of prop. is $4.50/game, and the cost function is

C(x) = ($4.50/game)x, where x is the # of games played.

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