The cost of a car is supposed to be no more than 80% of the value for the next year's model. If a car costs $14,000, what is the cost of the next year's model?

x ≥ $17, 500

Step-by-step explanation:

To find the cost of the next year model, we will follow the steps below;

Let x be the value of next year's model

$14000 ≤ 80% of  x

80% of  x ≥  $14000

80% × x ≥$14000

80x/100    ≥  $14000

multiply both-side of the equation by 100

80x ≥  $1400000

Divide both-side of the inequality by 80

80x /80 ≥ $1400000 / 80

x ≥ $17, 500

Therefore the cost of next year's model is

x≥$17, 500

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

the answer is y = 11.54

hope this : )