Question

The equation y = 6.75x models the cost, in dollars, to purchase x pounds of steak at grocery store 1. This table shows the cost to buy different weights of steak at grocery store 2.
2.Janet can make 4/5 of a necklace in 20 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can Janet make in 1 hour?

Answer 1

Problem 4

Answer: Choice C) store 1 is $0.75 less per pound compared to store 2

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Explanation:

The equation y = 6.75x shows that the cost of 1 steak is $6.75 per pound, when you buy from store 1. This is the unit cost.

The table shows the unit cost of store 2 is 15/2 = 7.50 dollars per pound. Simply pick any row from the table, and divide the y over x value. So k = y/x is the unit cost. It's also the constant of proportionality.

From here, we subtract the two unit costs: 7.50 - 6.75 = 0.75

The unit cost at store 1 is 0.75 dollars less than the unit cost of store 2.

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Problem 5

Answer:  2.4 necklaces

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Explanation:

4/5 of a necklace = 20 minutes

3*(4/5 of a necklace) = 3*(20 minutes) ..... multiply both sides by 3

12/5 of a necklace = 60 minutes

12/5 of a necklace = 1 hour

Use your calculator to find that 12/5 = 2.4