Question

The quantities x and y are proportional. x y
7 35
12. 60
20 100

Answer 1

`r=5`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Proportionality correlates to linearity
• Slope-Intercept Form: y = mx + b
• Slope Formula:
  `m=(y_2-y_1)/(x_2-x_1)`

Explanation:

Step 1: Define

Find points from table

Point (7, 35)

Point (12, 60)

Step 2: Find Proportionality

Simply plug in the 2 coordinates into the slope formula to find proportionality

1. Substitute [SF]:
   `r=(60-35)/(12-7)`
2. Subtract:
   `r=(25)/(5)`
3. Divide:
   `r=5`