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.

Answer:The intercepts are 6 and 14The cost for the family to attend a play with 6 adults only is 21The cost for the family to attend a play with 14 children only is 21Step-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