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Create a system of equations.

Then, without solving, interpret what the solution to the system would tell you about the situation.
1.Lin’s family is out for a bike ride when her dad stops to take a picture of the scenery. He tells the rest of the family to keep going and that he’ll catch up. Lin's dad spends 5 minutes taking the photo and then rides at 0.24 miles per minute until he meets up with the rest of the family further along the bike path. Lin and the rest were riding at 0.18 miles per minute.
2.Noah is planning a kayaking trip. Kayak Rental A charges a base fee of $15 plus $4.50 per hour. Kayak Rental B charges a base fee of $12.50 plus $5 per hour.
3.Diego is making a large batch of pastries. The recipe calls for 3 strawberries for every apple. Diego used 52 fruits all together.
4.Flour costs $0.80 per pound and sugar costs $0.50 per pound. An order of flour and sugar weighs 15 pounds and costs $9.00.

1 Answer

2 votes

Equations

1. I don't know this one.

2. 15 + 4.5x = 12.5 + 5x

3. 52 = 3x + x

4. x + y = 15 0.80x + 0.50y = 9

What the solution means

1. How long it takes for Lin's dad to catch up with the rest.

2. When the prices for the two kayak rentals are the same.

3. How many apples Diego uses.

4. How many pounds of sugar and flour there are.

User Jabrove
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