Help with Word Problem Equation (8th grade)?

Question by : Help with Word Problem Equation (8th grade)?
To encourage customers, a new movie theater is offering memberships. The membership costs $ 75 a year plus $ 2 per movie. For non members, the cost of a movie is $ 5.75

A. Write an equation for the cost for members and write an equation for non members. Explain what the variables in your equations represent

B. What is the slope of each equation? What does it mean in the context of this problem?

C. What is the y-intercept of each equation? What does it mean in the context of this problem?

D. Find the cost for both members and non members for seeing 10 movies

E. How many movies can each see for $ 100?

F. How many movies would make both plans equal to each other?

Best answer:

Answer by r4z0r1991
A,

1, 75 + 2X = Y
2, 5.75X = Y

X represent each movie seen under a period of one year and Y is the cost.

B,

For members it’s 2 and for non members it’s 5.75. It means that
each seen movie cost less for the member.

C,

75 + 2X = 5.75X
75 = 5.75X – 2X = 3.75X
75 / 3.75 = X = 20

This means that the member will only save money if he watches more
than 20 movies a year.

D,

1, 75 + 2 * 10 = 95$
2, 5.75 * 10 = 57.5$

E,

1,
100 – 75 = 25
25 / 2 = 12,5
He can see 12 movies a year

2,
5.75X = 100
X = 100 / 5.75 = 17,39
He can see 17 movies

F,

20 movies a year, check answer C

Know better? Leave your own answer in the comments!