Question

emilio writes the inequality 17(f+2) + 45.99<200 to better represent the situation, using the variable f to represent the number of friends. solve the inequality, then write the maximum nymber of friens attende the birthday party.

Answer 1

Expand the left hand side:

`17f+34+45.99<200`

Simplify the left hand side:

`17f+79.99<200`

Subtract 79.99 from both side:

`17f<120.01`

Divide both sides by 17:

`f<(120.01)/(17) \approx 7.06`

So, he must invite less than 7 friend to the party.