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, 56.25), where x represents the number of hours bowled on one lane, and why represents the total cost for bowling.

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03-11-2022
Mathematics

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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, 56.25), where x represents the number of hours bowled on one lane, and why represents the total cost for bowling.

Sagot :

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SelmanV774884 SelmanV774884 · Answer 1 · 2022-11-03T04:54:23-04:00

Answer:

[tex]\$17.25[/tex]

Explanation: We have to find the hourly rate to bowl, provided the following information:

[tex]\begin{gathered} (x_1,y_1)=(2,39) \\ (x_2,y_2)=(3,56.25) \end{gathered}[/tex]

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

[tex]\begin{gathered} y(x)=mx \\ m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{56.25-39}{3-2} \\ m=\frac{56.25-39}{3-2}=\frac{\$17.25}{1hr} \\ m=\frac{\operatorname{\$}\times17.25}{1hr} \\ \therefore\rightarrow \\ y(x)=17.25x \end{gathered}[/tex]

Therefore it costs $17.25 for an hour to bowl.

Sagot :

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