A bowling alley charges its customers an hourly rate to bowl plus shoe rental. The hourly rates are per Lane. a linear model of this situation contains the values (2,39) and (3,…

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asked Jun 17, 2023 63.0k views

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Isen Ng · Answer 1 · 2023-06-21T21:50:42+0000

Answer:

$\$17.25$

Step-by-step explanation: We have to find the hourly rate to bowl, provided the following information:

$\begin{gathered} (x_1,y_1)=(2,39) \\ (x_2,y_2)=(3,56.25) \end{gathered}$

Where x is the number of hours and y is the total cost.

$\begin{gathered} y(x)=mx \\ m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ m=(y_(2)-y_(1))/(x_(2)-x_(1))=(56.25-39)/(3-2) \\ m=(56.25-39)/(3-2)=(\$17.25)/(1hr) \\ m=\frac{\operatorname{\$}*17.25}{1hr} \\ \therefore\rightarrow \\ y(x)=17.25x \end{gathered}$

Therefore it costs $17.25 for an hour to bowl.

A bowling alley charges its customers an hourly rate to bowl plus shoe rental. The hourly rates are per Lane. a linear model of this situation contains the values (2,39) and (3,…

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