The number of plates is 5 less than 3 times the number of cups. Write an equation for the relationship. Tell what each variable you use represents.

The equation that represents the relation is x = 3y - 5, where x is the number of plates and y is the number of cups

Step-by-step explanation:

To solve this question chose a variable represents the number of the plates and another variable represents the number of the cups

Assume that the number of plates is x and the number of cups is y

∵ The number of plates = x

∵ The number of cups = y

∵ The number of plates is 5 less than 3 times the number of cups

→ That means x is less than 3 times y by 5

∵ 3 times y = 3 × y = 3y

∵ x is less than 3y by 5

→ Remember is means equal and "less" means subtract 5 from 3y

∴ x = 3y - 5

The equation that represents the relation is x = 3y - 5, where x is the number of plates and y is the number of cups

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.