Hiiii! My teacher gave out some practice problems to help prepare for the big upcoming tEst.. I just don't remember hiw to do fhese problems.. Irs just hard for me.. these are not graded, I just need help so I can (hopefully) ace the test :) Questions!: Write an equation to express y in terms of x. Use your equation to complete the table 1. -------------------------------------- x- 1, 2 , 3, 4, 5 -------------------------------------- y- 7, 14, 21, 28, ?? -------------------------------------- ________ I can tell y jumps in 7 but I don't know the equation

y= 7x check it

thank you! that's actually what I guessed

Hi there! I'd be happy to help you with your practice problems. Let's start with the first question about writing an equation to express y in terms of x.

To solve this problem, we need to find a pattern or relationship between the values of x and y in the table. By looking at the values given, we can see that y increases by 7 for every increase in x by 1. This means that the relationship between x and y is linear.

To express this relationship mathematically, we can use the equation of a line: y = mx + b. In this equation, m represents the slope of the line and b represents the y-intercept.

In our case, since y increases by 7 for every increase in x by 1, the slope (m) of the line is 7. The y-intercept (b) is the value of y when x is 0, which we can find by substituting the given values of x and y into the equation.

Let's find the y-intercept using the first point in the table (x = 1, y = 7):

7 = 7(1) + b
7 = 7 + b
b = 0

So the equation relating x and y is:

y = 7x

Now, let's use this equation to complete the table:

1.:
x = 1
y = 7(1) = 7

2.:
x = 2
y = 7(2) = 14

3.:
x = 3
y = 7(3) = 21

4.:
x = 4
y = 7(4) = 28

5.:
x = 5
y = 7(5) = 35

Therefore, the missing value in the table is 35.

I hope this explanation helps you understand how to approach this type of problem and how to write equations based on given information. Let me know if you have any further questions!