Question

The following linear equation represents the line of best fit for the following scatter plot

y=0.15x-1.5

Use the equation to answer the following questions. Predict the number of hits a person would have to do to get 30 home runs.

A) 3
B) 210
C) 190
D) 6

Answer 1

210 hits

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

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Explanation:

Step 1: Define

y = home runs

x = hits

[Best Line of Fit] y = 0.15x - 1.5

We can use this to predict the average of the scatter plot.

home runs = y = 30

Step 2: Solve for x hits

1. Substitute [BLF]: 30 = 0.15x - 1.5
2. Add 1.5 to both sides: 31.5 = 0.15x
3. Divide 0.15 on both sides: 210 = x
4. Rewrite: x = 210

Remember that this is a prediction. According to the best line of fit, we would need 210 hits to get 30 home runs.