Question

Which of the following, Option 1 or Option 2, is a proportion?

Option 1: 5/6 = 15/18

Option 2: 5/6 =20/18

Answer 1

There are 48 inches in 4 feet, which is represented by the equation 4y=48x . Determine the number of inches per foot.

Answer 2

Write y−6x=5 in slope-intercept form

Answer 3

Option 1 is a proportion because both sides of the equation are equal to each other.

Answer 4

To determine the number of inches per foot, we need to find the value of y when x is equal to 1.

Given the equation 4y = 48x, we substitute x = 1:

4y = 48(1)

Simplifying, we have:

4y = 48

To isolate y, we divide both sides by 4:

y = 48/4 = 12

Therefore, there are 12 inches in 1 foot.

Answer 5

To write the equation y - 6x = 5 in slope-intercept form, which is y = mx + b, we need to isolate y on one side.

Let's begin by moving the -6x term to the right side of the equation:

y = 6x + 5

Now we have the equation in slope-intercept form, where the slope (m) is 6 and the y-intercept (b) is 5.