The equation that best represents y is: b. y = 7.5x + 45
Let's take 2 points from the table and use the point-slope form to find the equation:
Point A: x=8, y=105
Point B: x=15, y=157.5
y-105 = m(x-8)
157.5-105 = m(15-8)
52.5 = 7m
m = 7.5
Then we have: y-105 = 7.5(x-8)
y = 7.5x + 45
The equation that best represents y is: b. y = 7.5x + 45
Question
The table shows the linear relationship between the total amount Mrs. Jacobs will be charged for a skating party and the number of children attending. Number of children Total amount charged 5 $82.50 8 $105.00 12 $135.00 15 $157.50 Which equation best represents y, the total amount in dollars Mrs. Jacobs will be charged for x number of children attending the skating party? a. y = 16.5x b. y = 7.5x + 45 c. y = 22.5x + 82.5 d. y = 45x + 7.5