Mathematics, 22.07.2019 08:30 bobthebattlebot

Henry has 68 miles to destination after 45 minutes and 51.5 miles to destination after 71 minutes of driving. how many miles to his destination after 79 minutes of driving

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Let d represent the distance of the destination from the starting point.

After 45 min, Henry has already driven d-68 miles. After 71 min., he has already driven d-51.5 miles.

So we have 2 points on a straight line:

(45,d-68) and (71,d-51.5). Let's find the slope of the line thru these 2 points:

d-51.5 - (d-68) 16.5 miles
slope of line = m = =
71 - 45 26 min

Thus, the slope, m, is m = 0.635 miles/min

The distance to his destination would be d - (0.635 miles/min)(79 min), or

d - 50.135 miles. We don't know how far his destination is from his starting point, so represent that by "d."

After 45 minutes: Henry has d - 68 miles to go;

After 71 minutes, he has d - 51.5 miles to go; and

After 79 minutes, he has d - x miles to go. We need to find x.

Actually, much of this is unnecessary. Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is

(0.635 miles/min)(8 min) = 5.08 miles. Subtracting thix from 51.5 miles, we conclude that after 79 minutes, Henry has (51.5-5.08), or 46.42, miles left before he reaches his destination.

Answer from: Quest

this is a very good question

step-by-step explanation:

i got a hair cut today from my mom not to flex just to flex kim jon un is one rad fellow i'd say you'd need to take the hairline in kinda like a box shape like someone rammed a lego brick into your head. from there you really need to take the top up keeping with that boxy aesthetic, finally coat the whole thing with gel if your country economics are failing or whatever you can just coat it with the starving children's food rations. about 5 orphans per strand is a good ratio. good luck with the fresh cut my dude

Answer from: Quest

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!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

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:

$y=\frac{x}{2}$

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.

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