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 amount of hits a player would have to do to have 35 home runs.

A) About 4 hits
B) 223 hits
C) About 243 hits
D) 175 hits

Answer 1

C) About 243 hits

Explanation:

Answer 2

C) About 243 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

Step-by-step 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 = 35

Step 2: Solve for x hits

1. Substitute [BLF]: 35 = 0.15x - 1.5
2. Add 1.5 on both sides: 36.5 = 0.15x
3. Divide 0.15 on both sides: 243.333 = x
4. Rewrite: x = 243.333

Remember that this is a prediction. According to the best line of fit, we would need approximately ~243 to get 35 home runs.