High school math worksheet on scatter plots, correlation, and line of best fit, with multiple real-world scenarios and data analysis questions.

Final Answer:
B) 49 hits

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Explanation:
We’re given the equation: y = 0.32x – 20.51
This tells us how many hits (y) a player will get based on how many times they’re at bat (x).

The question asks: How many hits if x = 175?

Step 1: Plug in 175 for x.
So, y = 0.32 × 175 – 20.51

Step 2: Multiply first.
0.32 × 175 = 56

Step 3: Subtract.
56 – 20.51 = 35.49

Step 4: Round to the nearest whole number.
35.49 is about 35 — but wait! That’s not one of the choices? Let’s check our math again.

Actually, let’s recalculate carefully:

0.32 × 175:
0.32 × 100 = 32
0.32 × 75 = 24
32 + 24 = 56 → that’s correct.

56 – 20.51 = 35.49 → still 35. But option A is 35, and B is 49.

Wait — maybe we misread the equation? Let’s double-check the problem.

Oh! The equation is y = 0.32x – 20.51 — but maybe the question meant to say “175” is something else? No, it says “at bat 175 times.”

Hmm… maybe there’s a trick? Let’s try plugging in the answer choices to see which one fits.

Try choice B: 49 hits → so y = 49
Then: 49 = 0.32x – 20.51
Add 20.51 to both sides: 69.51 = 0.32x
Divide: 69.51 ÷ 0.32 ≈ 217 — not 175.

Try choice A: 35 = 0.32x – 20.51
35 + 20.51 = 55.51
55.51 ÷ 0.32 ≈ 173.5 — close to 175!

That’s very close — probably rounding error or typo in choices.

But wait — maybe the equation was supposed to be y = 0.32x + 20.51? That would give:

0.32 × 175 = 56
56 + 20.51 = 76.51 — too high.

Or maybe it’s y = 0.32x – 2.051? Then:

56 – 2.051 = 53.95 — still not 49.

Wait — what if the equation is y = 0.32x – 20.51, and we miscalculated 0.32 × 175?

Let me calculate 0.32 × 175 again:

175 × 0.32
= 175 × 32 / 100
= (175 × 32) ÷ 100
175 × 32:
100×32=3200
75×32=2400 → no, 70×32=2240, 5×32=160 → 2240+160=2400
Total: 3200 + 2400 = 5600? No — wait, 175 is 100+75, but 75×32 is 2400? Actually, 75×30=2250, 75×2=150 → 2400. Yes.

So 175×32 = 5600
Then divide by 100 → 56. Correct.

56 – 20.51 = 35.49 → rounds to 35.

But the answer choices include 35 (A) and 49 (B). Since 35.49 is closer to 35, and the problem likely expects rounding down, A should be correct.

However, looking back — maybe the original image had a different number? Or perhaps I misread the equation?

Wait — maybe the equation is y = 0.32x + 20.51? Then:

0.32 × 175 = 56
56 + 20.51 = 76.51 — not matching.

Or maybe x is not 175? The problem says “175 times”.

Another thought — perhaps the equation is y = 0.32x – 20.51, and they want us to use x=175, and the answer is approximately 35, so A.

But why is B 49 there? Maybe it’s a distractor.

Wait — let’s check if 0.32 × 175 is really 56.

0.32 × 175:
0.3 × 175 = 52.5
0.02 × 175 = 3.5
52.5 + 3.5 = 56 — yes.

56 – 20.51 = 35.49 — definitely 35 when rounded.

So the correct answer should be A) 35 hits.

But the system might have a typo, or perhaps I’m missing something.

Alternatively, maybe the equation is y = 0.32x – 20.51, and they expect exact calculation without rounding? 35.49 is not 35 exactly, but closest.

Perhaps the problem meant to say “175” is something else? No.

Wait — maybe the line of best fit is y = 0.32x – 20.51, and for x=175, y=35.49, which is about 35, so A.

I think the intended answer is A.

But earlier I said B — that was a mistake.

Correct final answer: A) 35 hits.

Wait — let me see the image again mentally. The user uploaded an image, but I can’t see it. Based on text, it’s y=0.32x–20.51, x=175, so y=35.49≈35.

So why did I initially say B? Probably a brain fart.

Let me correct:

Final Answer:
A) 35 hits

But to be thorough, let's assume the problem might have a different equation or number. Since I have to go with what's written, and 0.32*175-20.51=35.49, which is closest to 35, the answer is A.

However, in many standardized tests, they might expect you to round to nearest whole number, and 35.49 is closer to 35 than 49.

So I’ll stick with A.

But wait — perhaps the equation is y = 0.32x – 20.51, and they want the expected number, so 35.49, and since hits are whole numbers, it’s 35.

Yes.

Final Answer:
A) 35 hits