Sarah is shopping for clothes online. She is willing to spend up to on clothes and up to on shipping. Shirts cost each and pants cost each.
Shipping costs per shirt and per pair of pants.
Step 1 of 3 : Write a constraint that describes how much Sarah can spend on clothes, excluding shipping. Use for the number of shirts and for the number of pairs
of pants.
Answer

Ask by Harper Matthews. in the United States

Dec 10,2024

Question

Sarah is shopping for clothes online. She is willing to spend up to on clothes and up to on shipping. Shirts cost each and pants cost each.
Shipping costs per shirt and per pair of pants.
Step 1 of 3 : Write a constraint that describes how much Sarah can spend on clothes, excluding shipping. Use for the number of shirts and for the number of pairs
of pants.
Answer

Ask by Harper Matthews. in the United States

Dec 10,2024

UpStudy AI · Accepted Answer

To write a constraint that describes how much Sarah can spend on clothes, excluding shipping, we need to consider the cost of the shirts and pants.

Let:
- $$ x $$ = number of shirts
- $$ y $$ = number of pairs of pants

The cost of the shirts is $$ 12x $$ (since each shirt costs $$ \$12.00 $$) and the cost of the pants is $$ 32y $$ (since each pair of pants costs $$ \$32.00 $$).

Sarah is willing to spend up to $$ \$80.00 $$ on clothes, so we can write the constraint as:

$$
12x + 32y \leq 80
$$

This inequality represents the maximum amount Sarah can spend on clothes, excluding shipping.
The constraint for Sarah's clothing spending is $$ 12x + 32y \leq 80 $$.

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