the word problem was too long to fit here

Question

At an amusement park, a person spends $30 on admission and food, and then goes on r number of rides that cost $2 each. wright an equation that represents the total amount c at the amusement park if a person goes on anywhere from 0 to 5 rides.

Answer 1

The first thing I would recommend is listing the parts of the problem that we know.

$30 = the cost of food and admission

r = the number of rides the person went on

$2 = the cost per ride

c = the total amount spent at the amusement park.

You would need to set the problem up in a way that shows you are multiplying the number of rides a person goes (r) on by $2 and adding that to the $30 they spent on food and admission in order to determine the total amount spent at the amusement park (c).

For example:

2r + 30 = c

To solve this for the number of rides (0 - 5) as the problem suggests, replace the 'r' variable with numbers 0 through 5, one at a time, and solve the equations.

2r + 30 = c

2(0) + 30 = c Substitute 0 for 'r'

0 + 30 = c Multiply 2*0

30 = c Add 0 + 30 together

When zero rides are ridden, the person spent a total of $30 at the amusement park

2r + 30 = c

2(1) + 30 = c Substitute 1 for 'r'

2 + 30 = C Multiply 2*1

32 = C Add 2 + 30 together

When one ride is ridden, the person spent a total of $32 at the amusement park

Repeat these same steps to determine the amount spent for 2 through 5 rides.