A section of highway through a mountainous area changes in height above a valley floor, y,
over a horizontal distance, x, at a constant rate
as represented on the graph below.
Highway Elevation Change
у
150
Height Above
Valley Floor (feet)
100
50
х
0
0
200 400 600 800
Horizontal Distance Travelled
(feet)
What is the rate of change in height, y, with
respect to horizontal distance travelled, X?
A 1/2 B 1 / 2
C4
D8

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

step-by-step explanation:

jbankston is right, use thhe link and you should find the answer.

(f+g)(x) = 3^x+10x+4x-2

      =3^x +14x-2

choice b