David will spend at most $39 on gifts. So far, he has spent $22. What are the possible additional amounts he will spend? Use c for the additional amount (in dollars) David will spend. Write your answer as an inequality solved for c

Respuesta :

Answer:

[tex]c\leq \$17[/tex]

Step-by-step explanation:

Let

c -----> the additional amount (in dollars) David will spend

we know that

The word " at most" in this context means "less than or equal to"

The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39

so

The inequality that represent this situation is

[tex]22+c\leq 39[/tex]

solve for c

subtract 22 both sides

[tex]c\leq 39-22[/tex]

[tex]c\leq \$17[/tex]

The maximum amount he could spend is $17