How can I do this I'm so stuck on this plz help

Mathematics

2 answers:

Stolb23 [73]3 years ago

8 0

You're just changing the given rate into a unit rate: follow along and do the division shown and fill in the blanks. 320 ÷16 = 20

So the unit rate is $\frac{20mi}{1gal}$

Olegator [25]3 years ago

7 0

Do 320/16 and that will equal 20 and don’t pay attention to the denominators because they already put a 1 for you.

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<h2>The time needed is 10 months.</h2>

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The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

$m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350$

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

$y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500$

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

$0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10$