Question

The equation shows the cost, c, for a group attending a basketball game based on the number of people, p. How many people could attend for a cost of 100 dollars? C = 8p + 12. 9, 63, 11 or 441

Answer 1

Given the equation for determining the cost expressed as:

C = 8p + 12 where:

p is the number of people attending a basketball game

To determine the number of people that could attend for a cost of 100 dollars, we will substiute C = 100 into the equation and calculate the value of p as shown:

C = 8p+12

100 = 8p+12

subtract 12 from both sides

100-12 = 8p+12-12

88 = 8p

8p = 88

Divide both sdes by 8:

8p/8 = 88/8

p = 11

Hence the number of people that can attend for a cost of 100 dollars is 11 people