Question

In order to join a yoga club there is a $100 annual fee and a $5 fee for each class you attend. Write an equation in slope-intercept form that models the situation.

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Use the equation from above and find out how much it would cost to take classes every weekend (Saturday and Sunday) during the month of January? Show all of your work and answer was a complete sentence.

Answer 1

Part a)
`y=5x+100`

Part b) The cost to take classes every weekend (Saturday and Sunday) during the month of January is $140

Explanation:

Part a)

Let

x ----> the number of classes

y ----> the total cost

we know that

The equation of the line in slope intercept form is equal to

`y=mx+b`

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem

The slope is equal to
`m=\$5\ per\ class`

The y-intercept is
`b=\$100` ---> annual fee

substitute

`y=5x+100`

Part b) Use the equation from above and find out how much it would cost to take classes every weekend (Saturday and Sunday) during the month of January

we know that

During the month of January 2020 we have 8 classes (4 Saturday and 4 Sunday)

so

For x=8

substitute in the linear equation

`y=5(8)+100`

`y=\$140`

therefore

The cost to take classes every weekend (Saturday and Sunday) during the month of January is $140