Question

On Saturday, Querida gave away 416 coupons for a free appetizer at a local restaurant. The next day, she gave away about 52 coupons an hour.

a. Is the number of coupons Querida gave away on Sunday proportional to The number of hours she worked a day

Answer 1

To determine whether the number of coupons Querida gave away on Sunday is proportional to the number of hours she worked, we need to compare the two quantities and see if they maintain a constant ratio.

On Saturday, she gave away 416 coupons.

On Sunday, she gave away about 52 coupons per hour.

Let's consider the ratio of coupons given away to the number of hours she worked on Sunday:

\(Ratio = \frac{\text{Coupons on Sunday}}{\text{Hours on Sunday}}\)

\(Ratio = \frac{52 \text{ coupons/hour}}{1 \text{ hour}} = 52\)

So, the ratio is 52, which means she gave away 52 coupons for each hour she worked on Sunday.

Since the ratio is constant (52), the number of coupons Querida gave away on Sunday is indeed proportional to the number of hours she worked on that day.

Culled from AI

Answer 2

Answer: Yes

Explanation:

The number of coupons Querida gave away on Sunday is proportional to the number of hours she worked that day.

To determine if two quantities are proportional, we need to check if their ratios remain constant. In this case, we need to compare the number of coupons given away to the number of hours worked.

On Saturday, Querida gave away 416 coupons. We don't know the number of hours she worked that day, so let's call it "x". So, the ratio of coupons to hours on Saturday is 416/x.

On Sunday, she gave away about 52 coupons per hour. Let's call the number of hours she worked on Sunday "y". So, the ratio of coupons to hours on Sunday is 52/y.

To determine if these ratios are proportional, we need to compare them. We can do this by setting up an equation:

416/x = 52/y

To check if this equation is proportional, we can cross-multiply:

416y = 52x

If we divide both sides by 52, we get:

8y = x

This equation tells us that the number of hours Querida worked on Sunday (y) is 8 times the number of coupons she gave away on Saturday (x).

Therefore, the number of coupons Querida gave away on Sunday is indeed proportional to the number of hours she worked that day, with a ratio of 8:1.