Writing Linear Equations in Slope-Intercept Form

a

We are told that one dance class costs

$ 15 .

Therefore, for

x

classes, Hailey will pay

$15 x dollars .$ There is also an administrative fee of $$ 25,$ which will be paid just once. Thus, to calculate the total cost $y$ of taking $x$ dance lessons, we should add this value to $15 x .$ Now, we can write the rule that describes this situation. $y = 15 x + 25$

b

Now, let's calculate the cost of

5

lessons using our rule. We can then see if the cost is less than

$ 100

or not. This is done by substituting

5

for

x .

y = 15 x + 25

Substitute

x = 5

y = 15 \cdot 5 + 25

MultiplyMultiply

y = 75 + 25

AddTermsAdd terms

y = 100

The total cost will be

$ 100

and since Hailey has exact

$ 100

to spend she can afford it.

Writing Linear Equations in Slope-Intercept Form 1.8 - Solution