GIVING BRAINLIEST! (30 POINTS)
A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 3 of the recall, the manufacturer fixed 391 cars. In week 13, the manufacturer fixed 361 cars. Assume that the reduction in the number of cars each week is linear. Write an equation in function form to show the number of cars seen each week by the mechanic.
f(x) = 3x + 400
f(x) = 3x + 391
f(x) = −3x + 391
f(x) = −3x + 400

Respuesta :

The correct answer is d.

You can start by narrowing down your answer choices by taking out a & b. Since there is a reduction your graph will have a negative slope. Then you can consider the fact that your first point will start on week 3 at 391, meaning week one would need to be a higher point than that, leaving you with d.

Answer:

Option d is the right answer

Step-by-step explanation:

Given that a car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall.

Let x represent the number of weeks and y no of cars fixed

Then given that the relationship is linear.

Hence we have two points lying on the line as two numbers in given information

[tex](x,y) = (3,391) , (13,361)[/tex]

Using two point formula we get equation of line as

[tex]\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1} \\\frac{x-3}{13-3} =\frac{y-391}{361-391} \\-3(x-3) = (y-391)\\\\y =-3x+400[/tex]

Option d is right.

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