Question

1.

Answer 1

Q1. Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, I, which costs $4 a bottle, and new brushes, b, which are $15 each.

Solution:
In the current situation, the total amount is $100 and the cost of an ink bottle is $4.Whereas, the cost of each brush is $15.She cannot spend more than $100.

Therefore,
The equation which best describes the situation is:
4i + 15b ≤ 100

Q.2 Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t. He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day, at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day. Write 5 inequalities that represent the explicit and assumed constraints in the problem.

Solution:
He sells shorts for $14 and T-shirts for $6 each
14s + 6t

It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts.
0.15t + 1s ≤ 12

He must design at least 12 items each day
s + t ≥ 12

he cannot design more than 20 items in one day.
s + t ≤20

Answer 2

Answer:

Step-by-step explanation:

1) In the current situation, the total amount is $100 and the cost of an ink bottle is $4.Whereas, the cost of each brush is $15.She cannot spend more than $100.

The equation which best describes the situation is:

4i + 15b ≤ 100

2) He sells shorts for $14 and T-shirts for $6 each

14s + 6t

3) It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts.

0.15t + 1s ≤ 12

4) He must design at least 12 items each day

s + t ≥ 12

5) He cannot design more than 20 items in one day.

s + t ≤20