Duke starts at the base of a ramp and walks up it at a constant rate. his elevation increases by 3 ft. every second. just as duke starts walking up the ramp, shirley starts at the top of the same 25 ft. high ramp and begins walking down the ramp at a constant rate. her elevation decreases 2 ft. every second.

a. sketch two graphs on the same set of elevation-versus-time axes to represent duke’s and shirley’s motions.
b. what are the coordinates of the point of intersection of the two graphs? at what time do duke and shirley pass each other?
c. write down the equation of the line that represents duke’s motion as he moves up the ramp and the equation of the line that represents shirley’s motion as she moves down the ramp. show that the coordinates of the point you found in the question above satisfy both equations.

step-by-step explanation:

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

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.

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.