7th Math SBAC Prep Day 4 -5/6

It takes Shaun 90 minutes to complete a 15 mile race. The route, with four checkpoints (labeled A, B, C, and D) is shown.
Assume Shaun runs at a constant rate during the race.

1

Complete the table to show Shaun’s time, in minutes, and distance, in miles at each checkpoint.

1

Abel and Babel are Shaun’s classmates. They wanted to write an equation to represent the relationship between the number of miles Shaun ran and the minutes it took him. They came up withthe following equation: y=15x Explain why this equation is incorrect using calculations/evidence.

1

What is the correct equation to represent the relationship between x and y?

1

Use your equation from part c) to determine how far Shaun ran if it took him 2 hours and 37 minutes. Show each step of solving and ROUND your answer to the nearest tenth.

1

Inequalities—A gym for children uses the inequality below as a guideline for how much weight children of different ages should lift. In the inequality, p is an appropriate number of pounds for the child to lift, and A is the age of the child in years. If A = 12, which statement best interprets the solution to the inequality?

The school is organizing a fundraiser to support the local animal shelter. The goal is to raise at least $1200. The final plan is to sell handmade candles. The school can produce a set of 6 candles for $15. They will sell the set with a 200% markup.

1

For what price will the school sell one set of 6 candles?

1

The school will also pay a one-time fee of $50 for candle-making supplies. Write an inequality that can be used to determine the number of sets of candles the students need to sell to meet the goal of $1200.

1

Complete the table to show Shaun’s time, in minutes, and distance, in miles at each checkpoint.

Abel and Babel are Shaun’s classmates. They wanted to write an equation to represent the relationship between the number of miles Shaun ran and the minutes it took him. They came up withthe following equation: y=15x Explain why this equation is incorrect using calculations/evidence.

What is the correct equation to represent the relationship between x and y?

Use your equation from part c) to determine how far Shaun ran if it took him 2 hours and 37 minutes. Show each step of solving and ROUND your answer to the nearest tenth.

For what price will the school sell one set of 6 candles?

The school will also pay a one-time fee of $50 for candle-making supplies. Write an inequality that can be used to determine the number of sets of candles the students need to sell to meet the goal of $1200.

How many sets of candles need to be sold to meet their goal of collecting $1200 for the fundraiser?