Question

7. Marcy is taking part in a summer movie club. She will

earn 3 points for each movie she attends throughout the
summer. Which equation represents the relationship
between y, the total points, and x the number of movies?
A y=3x
B. y = 3+x
C. x= 3y
D. x=y+3

Answer 1

The equation that represents the relationship between 'y' the total points, and 'x' the number of movies is option A;

A y = 3·x

Explanation:

The information required in the question is an equation that represents the the relationship between the number of movie attended and the total number of points Marcy has given that she earns a fixed amount of points for attending each movie

The number of points she will earn for attending each movie = 3 points

The total number of points she will earn 'y' when she attends 'x' number of movies is given as follows;

y = 3 + 3 + 3 + ... + 3, 'x' number of times, and we can write

`y = \sum\limits_(i =1)^x 3 = 3 * x`

Therefore the equation that represents the relationship between 'y' the total points, and 'x' the number of movies is y = 3·x.