As a dog walker, Hannah can walk at most 15 dogs per day. She charges per walk for small dogs and per walk for large dogs. Hannah
needs to earn at least per day. Write two inequalities to model this situation. Let be the number of small dogs Hannah walks and be the
number of large dogs Hannah walks.
Answer 2Points

Ask by Todd Pearson. in the United States

Jan 23,2025

Question

As a dog walker, Hannah can walk at most 15 dogs per day. She charges per walk for small dogs and per walk for large dogs. Hannah
needs to earn at least per day. Write two inequalities to model this situation. Let be the number of small dogs Hannah walks and be the
number of large dogs Hannah walks.
Answer 2Points

Ask by Todd Pearson. in the United States

Jan 23,2025

UpStudy AI · Accepted Answer

The two inequalities that model Hannah's situation are:

1. **Total dogs constraint:**
   $$
   x + y \leq 15
   $$
   (Hannah can walk at most 15 dogs per day.)

2. **Earnings requirement:**
   $$
   14x + 16y \geq 170
   $$
   (Hannah needs to earn at least \$170 per day.)

**Final Answer:**
$$
\begin{cases}
x + y \leq 15 \
14\,x + 16\,y \geq 170
\end{cases}
$$
The two inequalities are: 1. $$ x + y \leq 15 $$ (total dogs) 2. $$ 14x + 16y \geq 170 $$ (earnings)

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