Dennis decided he wanted to go to the carnival. The carnival charges $6.00 for entry and $1.50 for each ride.

Part A

Write an expression to represent this scenario where r represents the number of rides.

Part B

Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $35.00. Show your work.

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facundo3141592 facundo3141592 · Answer 1 · 2021-10-25T11:34:16+02:00

We want to create a linear equation to model the given situation.

A) c(r) = $6.00 + $1.50*r

B) 19 rides.

We know that the carnival charges $6.00 for entry plus $1.50 for each ride.

A) With the given information we can see that if you ride for r rides, then the cost equation will be:

c(r) = $6.00 + $1.50*r

Where c(r) is the cost for going to the carnival and doing r rides.

B) If you have $35.00, then we can solve:

c(r) = $35.00 = $6.00 + $1.50*r

Now we can solve the equation for r.

$35.00 = $6.00 + $1.50*r

$35.00 - $6.00 = $1.50*r

$29.00 = $1.50*r

$29.00/$1.50 = r = 19.33

Rounding to the next whole number we get: r = 19

This means that with $35.00, Dennis could go to 19 rides.

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