We have a negative relationship between number of drinks consumed and number of marks in a driving test. One individual scores 3 on number of drinks consumed, another individual scores 5 on number of drinks consumed. What will be their respective scores on the driving test if the intercept is 18 and the slope -3?

Driver 1 score: 9

Driver 2 score: 3

Step-by-step explanation:

We are given the following in the question:

The number of marks scored on a driving test are y(x) is a dependent variable and the number of drinks taken by the driver is the independent variable(x).

Slope, m = -3

y-intercept,c = 18

Then, we can write the regression equation as:

Driver 1 consumed 3 drinks.

We put x = 3 in the regression equation.

Thus, the predicted driving 1 score for driver 1 is

Driver 1 predicted score is 9.

Driver 2 consumed 5 drinks.

We put x = 5 in the regression equation.

Thus, the predicted driving 2 score for driver 2 is

Driver 2 predicted score is 3.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,