Which equation describes the relationship between x and y in the table below?

x y
5 20
7 28
9 36
11 44

A.y=x+15
B.y=x+8
C.y=3x+5
D.y=4x

14.Henry rides his bike 6 miles every 4 days. At that rate how far will Henry ride his bike in 12 days?
A.6
B.12
C.16
D.18
D

15.Evelyn used 4 eggs to make 2 omelets.What is the ratio of number of omelets to number of eggs used?
A.4:6
B.2:1
C.1:2
D.1:4
C?

What is your answer for the first problem?

The others are correct.

D. is correct.

Thank you

You're welcome.

To find the equation that describes the relationship between x and y in the table, we can examine the pattern and use algebra to determine the equation.

Looking at the table, we can see that as x increases by 2, y increases by 8. This means that for every increase of 2 in x, there is an increase of 8 in y.

To express this relationship algebraically, we can say that y is equal to 4 times x. Therefore, the correct equation is D. y = 4x.

To calculate how far Henry will ride his bike in 12 days, we need to determine the distance he rides per day and then multiply it by the number of days.

We are given that Henry rides his bike 6 miles every 4 days. To find the distance he rides per day, we divide the total distance by the number of days: 6 miles / 4 days = 1.5 miles per day.

Next, we multiply the distance per day by the number of days to find the total distance: 1.5 miles/day * 12 days = 18 miles.

Therefore, Henry will ride his bike 18 miles in 12 days. The correct answer is D. 18.

To find the ratio of the number of omelets to the number of eggs used, we divide the number of omelets by the number of eggs.

In this case, we are given that Evelyn used 4 eggs to make 2 omelets. So, the ratio of omelets to eggs is: 2 omelets / 4 eggs = 1 omelet / 2 eggs.

Simplifying this ratio, we get: 1:2.

Therefore, the correct answer is C. 1:2.