Answer:
The row with x = 2 and y = 4 is incorrect. The y value should be y = 3 when x = 2.
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Explanation:
Fractions can be a bit of a pain, so I'm going to be converting to decimal form to help with the computation; however, I will convert the y value results to mix number form so that it matches what the table shows.
Keep in mind that 3/4 = 0.75 when you use a calculator or long division. So a number like 2.75 means 2 & 3/4 (two and three quarters)
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Let's check the first row. Plug in x = 0 and it leads to...
y = (3/4)*x^2
y = (3/4)*0^2
y = (3/4)*0
y = 0.75*0
y = 0
This shows us that row 1 is correct. When x = 0, y = 0 leading to (x,y) = (0,0).
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Repeat the same basic outline of steps, but now use x = 2
y = (3/4)*x^2
y = (3/4)*2^2
y = (3/4)*4
y = 0.75*4
y = 3
So instead of 4, the proper y value is y = 3 when x = 2. This means row 2 is the answer (the row that has the incorrect values).
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For the sake of completeness, let's see if the third row is correct or not. Plug in x = 3
y = (3/4)*x^2
y = (3/4)*3^2
y = (3/4)*9
y = 0.75*9
y = 6.75
y = 6 & 3/4
We see that x = 3 points to y = 6 & 3/4, so we have the correct values in this row. We can cross this off the list of choices.
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Finally, let's check x = 5
y = (3/4)*x^2
y = (3/4)*5^2
y = (3/4)*25
y = 0.75*25
y = 18.75
y = 18 & 3/4
We get the proper y value. So we can also cross this off the list.
