Question

You and your friends go to the state fair. It costs $6 to get into the fair

and $2 each time you go on a ride. Consider the relationship between
number of rides and total cost.

Model the equation to show the linear relationship.

Answer 1

`let \: number \: of \: rides \: be \: \: n \\ let \: cost \: be \: \: c \\ n \: \alpha \: c \\ n = kc \\ k \: is \: a \: costant \: of \: proportionality \\ when \: n = 1. \: \: c = 2 \\ 1 = (k * 2) \\ k = (1)/(2) \\ therefore : \\ n = 0.5c`

Answer 2

`\huge\boxed{\sf x = 6 + 2y}`

Explanation:

Let the total cost be x and number of rides be y

It costs $2 on each ride. So, the rides' cost will be:

=> Number of rides * One rides' cost

=> y * 2

=> 2 y

So, The total cost will be:

Total cost = Entrance cost + Rides' cost

Total cost = $6 + $2(Number of rides)

x = 6 + 2y

`\rule[225]{225}{2}`

Hope this helped!

~AH1807