The scatter plot shows the score that several students made on their math semester exam and their science semester exam. Use the equation of the trend line y=0.75x+10 to predict the science exam score of someone who scores an 84 on their math exam.

Question

A. 94
B.73
C. 63
D. 99
Given:
Math score: 30,30,60,60,70,71,80,80,80,85,90,90,90,95,95,100,100
Science: 41,50,50,59,60,60,70,70,70,70,80,80,90,90,

Arrow going up starting at 10

Answer 1

To predict the science exam score for a student who scores an 84 on their math exam using the trend line equation \( y = 0.75x + 10 \), we can substitute \( x = 84 \) into the equation.

\[ y = 0.75(84) + 10 \]

Now calculate \( 0.75 \times 84 \):

\[ 0.75 \times 84 = 63 \]

Now add 10:

\[ y = 63 + 10 = 73 \]

Therefore, the predicted science exam score for a student who scores an 84 on their math exam is 73.

The answer is B. 73.