Question

1) Mister Smith wants to put a small fence around his garden. A store sells three feet sections of fence at cost of $5.49 per section. In the number of feet, what is the longest length of fence can he purchase if he wants to spend less than 145 dollars on the fence? Assume Mister Smith cannot purchase a fraction of a section of fencing and must purchase only whole sections. Show work and explain your reasoning.
2) A lifeguard at a swimming pool gives one-hour swim lessons to children in the morning before the pool is open to the public. She earns four dollars per class and fifty cents per swimmer. The minimum wage in her state is $7.25. She hopes to earn more than that amount of money during each class. Write an inequality that models the situation and find the minimum number of students she must teach in each class so that her earnings for that hour exceeds the minimum wage in her state.

3) Every year a classroom of students holds a car wash to raise money to help fund a good cause in their community. This year the class wants to purchase Electric Blankets for their local Senior Citizens Center. Each blanket costs 52 dollars. Their teacher says every year the class raises between 2,000 and 2,500 dollars. Using that estimate, what inequality below BEST represents how many blankets (B) the class can expect to buy for the Center?
A) B>2000
B) 2000
C) B<2500
D) 38<=B<=48

4) Jimmy does yard work around his neighborhood. In a given week he works at least two days, but no more than five. And on the days he does work, he earns at least three dollars per day, but no more than seventeen dollars per day. Write an inequality that models how much money (M) Jimmy makes per week.
A) 5<=M<=22
B) 3<=M<=17
C) 6<=M<=85
D) 2<=M<=5

5) A school wants to put on a dance recital. Middle School dancers have short programs that run four minutes long. High School performers will dance longer with longer programs seven minutes in length. The entire program cannot have more than ten dances and the entire recital must be over in less than 90 minutes. What pair of inequalities BEST represents the number of short Middle School dances (M) and the number of longer High School dances (H) that can be performed given these limitations?

A) M+H>=10,4M+7H<90

B) M+H<=10,4M+7H<90

C) 4M+7H<=10,4M+7H<90

D) M+H<=10,M+H<90

when answer can you please put the number of the question so i know which answer belongs to which question Thanks for your help :)

Answer 1

1. Mister Smith spends $145 total. The number of sections is$ 145/$ 5.49 = 26.41 ~ 27 sectionsThe length of the fence is27 (3) = 81 feet
2. Let x be the number of students in each class. The inequality is0.5x + 4 > 7.25
3. D) 38<=B<=48 
4. C) 6<=M<=85 
5. B) M+H<=10,4M+7H<90