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 home runs a player would have if they hit 200 times.

A) 25 home runs
B) 1,366 home runs
C) 28.5 home runs
D) 30 home runs

Answer 1

C) 28.5 home runs

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.

hits = x = 200 times

Step 2: Solve for y home runs

1. Substitute [BLF]: y = 0.15(200) - 1.5
2. Multiply: y = 30 - 1.5
3. Subtract: y = 28.5

Remember that this is only a prediction. Actual data can vary. The best line of fit tells us that if a player hits 200 times, we would get approximately 28.5 home runs.

Answer 2

`\huge\boxed{\text{(C) 28.5 home runs}}`

Explanation:

If we are given the equation to this graph, we need to substitute a value in to get the output of the function.

Since the question is asking us how many home runs a player will earn if they hit 200 times, and we know that the x value is the number of hits, we can substitute 200 into the equation as x and find the value of y.

• 
  `y =0.15x-1.5`
• 
  `y=0.15\cdot 200-1.5`
• 
  `y=30-1.5`
• 
  `y=28.5`

Therefore, 28.5 home runs would be scored with 200 hits.

Hope this helped!