Planet Fitness charges a one-time application fee of $50 plus $30 per session for a
personal trainer. Gold's Gym charges an annual fee of $250 plus $10 for each sessio
with a trainer. Write an equation to determine for how many sessions is the cost of the
two plans the same? Explain your expressions.

When the number of sessions is equal to 10, the total cost is the same in the two plans

Step-by-step explanation:

Let

y ---> the total cost

x ---> the number of sessions

we know that

The linear equation in slope intercept form is equal to

where

m is the slope

b is the y-intercept

Planet Fitness

we have

The slope is equal to

The y-intercept or initial value is equal to

substitute

----> equation A

Gold's Gym

we have

The slope is equal to

The y-intercept or initial value is equal to

substitute

----> equation B

Equate equation A and equation B

solve for x

therefore

When the number of sessions is equal to 10, the total cost is the same in the two plans

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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