Inequalities Target 6B/6C

Sarah has run 20 miles this month. For the rest of the month, she plans to run the same number of miles each day. There are 10 days left in the month. Sarah's goal is to run a total of 45 miles in the entire month.

Which of these inequalities describes this situation, where `m` is the number of miles Sarah runs each day to meet her goal?

• 45 ≤ 20 + 10m

• 10m – 20 ≤ 45

• 45 ≥ 20 + 10m

• 10m – 20 ≥ 45

A community center rents their hall for special events. They charge a fixed fee of $500 plus an hourly fee of $65.75. Tammy has $1000 to spend on renting the hall for a fundraiser. Using only the money she has; can Tammy pay for an 8-hour event?

• Yes, she will be under budget.

• No, she would have to spend $1,026 on the banquet hall.

• Maybe???

A community center rents their hall for special events. They charge a fixed fee of $500 plus an hourly fee of $65.75. Tammy has $1000 to spend on renting the hall for a fundraiser. Using only the money she has; can Tammy pay for a 2-hour event?

• Maybe??

• No, she doesn't have enough money.

• Yes, a 2-hour event will cost her $631.50, which is less than $1000.

A community center rents their hall for special events. They charge a fixed fee of $500 plus an hourly fee of $65.75. Tammy has $1000 to spend on renting the hall for a fundraiser. If h represents the number of hours, what does

65.75h + 500 represent?

• The total number of hours.

• The possible cost of renting the banquet hall.

• The total number of people attending the fundraiser.

A community center rents their hall for special events. They charge a fixed fee of $500 plus an hourly fee of $65.75. Tammy has $1000 to spend on renting the hall for a fundraiser. Which two EQUATIONs can be used to find the number of hours Tammy can rent the community center?

• 500 + 65.75h = 1000

• 500h + 65.75 = 1000

• 65.75h + 500 = 1000

A community center rents their hall for special events. They charge a fixed fee of $500 plus an hourly fee of $65.75. Tammy has $1000 to spend on renting the hall for a fundraiser. Which two INEQUALITIES can be used to represent the situation?

• $65.75h+500\le1000$

• $500h+65.75\le1000$

• $500+65.75h\le1000$

At the start of a hike, a hiker was at an elevation of -65 feet (Where 0 represents sea level). The hiker climbs at a rate of 12 feet per minute. Write an inequality in Ax + B > C format. Let x represent the number of minutes after the start of the hike, when the hiker’s elevation was higher than 7 feet above sea level.

Evaluate responses using AI:

OFF

 $12t-65>7$  Which solution matches this inequality about the hiker:

•  $t<6$  

•  $t>-6$  

•  $t>6$