A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled.

Answer : Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5:

Step-by-step explanation:

First we rewrite the table:

20    30

50    75

80    120

150   ?

We observe that for each 30 number of hops, the distance increases by 45 feet.

We must find the slope of the line:

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

m = (75-30) / (50-20)

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5 * (150)

y = 225

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

70

step-by-step explanation: