Question

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

Answer 1

Answer:

$r=5$

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: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step 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]:                    $r=\frac{60-35}{12-7}$
2. Subtract:                              $r=\frac{25}{5}$
3. Divide:                                 $r=5$