Question

question 13 of 25

use the line of best fit to predict the percentage sales increase when the discount is 35%.

a. 85%
b. 107%
c. 22%
d. 93%

Explanation:

Find the equation of the line of best fit

Using the two points on the line, \((10, 32)\) and \((20, 62)\):

$$ m = \frac{62 - 32}{20 - 10} = \frac{30}{10} = 3 $$

$$ y - 32 = 3(x - 10) \implies y = 3x + 2 $$

Predict the sales increase for a 35% discount

Substitute \(x = 35\) into the linear equation:

$$ y = 3(35) + 2 = 105 + 2 = 107 $$

Match with the given options

The predicted percentage sales increase is \(107\%\), which corresponds to option B.

Answer:

• (A) 85%
• (B) 107% (Correct answer)
• (C) 22%
• (D) 93%