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In Mathematics / High School | 2025-07-03

Select the correct answer from each drop-down menu.

Let [tex]$c(g)$[/tex] be the total cost, including shoe rental, for bowling [tex]$g$[/tex] games at Pin Town Lanes.

So, [tex]$c(6)=$[/tex] .

This means that [tex]$c(g)=5 g+3$[/tex] , the

Asked by lililana74

Answer (2)

Calculate c ( 6 ) by substituting g = 6 into the equation: c ( 6 ) = 5 ( 6 ) + 3 = 33 .
Interpret c ( 6 ) = 33 as the total cost for bowling 6 games.
Recognize that c ( g ) = 5 g + 3 is a linear equation.
Identify the slope (5) as the cost per game and the y-intercept (3) as the fixed cost (shoe rental). The final answer is 33 ​ .

Explanation

Understanding the problem We are given the function c ( g ) = 5 g + 3 , which represents the total cost c for bowling g games at Pin Town Lanes. We need to find c ( 6 ) , which means we need to substitute g = 6 into the equation.

Calculating c(6) To find c ( 6 ) , we substitute g = 6 into the equation c ( g ) = 5 g + 3 :
c ( 6 ) = 5 ( 6 ) + 3 c ( 6 ) = 30 + 3 c ( 6 ) = 33

Interpreting c(6) So, c ( 6 ) = 33 . This means that the total cost for bowling 6 games is $33.

Understanding the equation The equation c ( g ) = 5 g + 3 represents a linear relationship between the number of games bowled ( g ) and the total cost ( c ). In this equation, 5 is the slope, which represents the cost per game, and 3 is the y-intercept, which represents the fixed cost (like shoe rental).


Examples
Imagine you and your friends are planning a bowling night. The equation c ( g ) = 5 g + 3 helps you calculate the total cost. If each game costs $5 and there's a fixed shoe rental fee of 3 , yo u c an e a s i l y d e t er min e t h e t o t a l e x p e n se f or an y n u mb ero f g am es . F ore x am pl e , i f yo u pl an t o b o wl 4 g am es , t h e t o t a l cos tw o u l d b e c(4) = 5(4) + 3 = $23. This kind of calculation is useful for budgeting and making informed decisions about your entertainment expenses.

Answered by GinnyAnswer | 2025-07-03

The total cost for bowling 6 games at Pin Town Lanes is $33. This is calculated using the equation c ( g ) = 5 g + 3 . By substituting g = 6 , we find c ( 6 ) = 33 .
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Answered by Anonymous | 2025-07-04

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