11
QuizMultiple Choice

Data Analysis and Displays — Test

Question 11 • Mathematics 8

Loren solved the equation 10 is equal to 19 ninths times 149 plus b for b as part of her work to find the equation of a trend line that passes through the points open paren 1 comma 130 close paren and open paren 10 comma 149 close paren What error did Loren make?

Answer
A
She should have 1 is equal to 19 ninths times 130 plus b solved for b .
B
She should have solved 130 is equal to 9 over 19 times 1 plus b for b .
C
She should have solved 10 is equal to 9 over 19 times 149 plus b for b .
D
She should have solved 149 is equal to 19 ninths times 10 plus b for b .

Explanation

The slope between (1, 130) and (10, 149) is (149 − 130)/(10 − 1) = 19/9, so the trend line has the form y = (19/9)x + b. Using the point (10, 149), substitute x = 10 and y = 149: 149 = (19/9)(10) + b. Loren used 10 as the y-value and 149 as the x-value; choice D gives the correct equation to solve for b.

AI-written and checked against the verified answer.

Previous
Next