The equation 3.50x + 1.50y = 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. Find the intercepts (when x or y equal zero) and interpret the meaning of each one.

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

Step-by-step 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