Gabriel has 40 toy cars in his collection. Of these cars, 18 are sedans, 12 are trucks, and 10 are 1
convertibles. In the group of sedans, of them are red. In the group of trucks, of them are
red. All of the convertibles are red.
Based on this information, which statement is true?
A.
B.
The probability of randomly selecting a car that is red is greater than the probability of
randomly selecting a car that is not red.
The probability of randomly selecting a car that is a red sedan is less than the probability
of randomly selecting a car that is a red truck.
The probability of randomly selecting a sedan that is not red is 30%.
The probability of randomly selecting a red convertible is 100%.
C.
D.

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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