To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires 13 hours for painting, 3 hours for drying, and 2 hours for polishing. A Beta requires 25 hours for painting, 6 hours for drying, and 3 hours for polishing, and a Sigma requires 6 hours for painting, 2 hours for drying, and 3 hours for polishing. If the company has 313 hours for painting, 82 hours for drying, and 73 hours for polishing per month, how many of each type of car are produced?

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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

6

step-by-step explanation:

first you do 6 times 6 which gives u 36 then u do 36 divide my 6 which gives u 6. the u do the equation

6×6=36

36÷6=6