Answer:
The intercepts are 6 and 14
The cost for the family to attend a play with 6 adults only is 21
The cost for the family to attend a play with 14 children only is 21
Explanation:
* Lets explain how to solve the problem
- The equation 3.50 x + 1.50 y = 21 , represents the cost for a family to
attend a play where x is the number of adults and y is the number of
children
- The intercepts mean the intersection between the graph of the
equation and the axes
- To find the intercepts put one of the two variables equal to 0
∵ 3.50 x + 1.50 y = 21
∵ y = 0
∴ 3.50 x = 21 ⇒ divide both sides by 3.50
∴ x = 6
∵ x is the number of adults
∴ The cost for the family to attend a play with 6 adults only is 21
∵ 3.50 x + 1.50 y = 21
∵ x = 0
∴ 1.50 y = 21 ⇒ divide both sides by 1.50
∴ y = 14
∵ y is the number of children
∴ The cost for the family to attend a play with 14 children only is 21
* The intercepts are 6 and 14