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2 years ago

Rachel drives at a constant speed of 70 miles per hour.

Mathematics

1 answer:

marishachu [46]2 years ago

3 0

The linear function that models Rachel's distance as a function of time is:

D(x) = (70 mi/h)*x

<h3>How to find a function that models Rachel's distance as a function of time?</h3>

Remember the relation between speed and distance:

Distance = Speed*Time.

Here we know that the speed of Rachel is 70 miles per hour, then if she drives for x hours, the distance traveled will be:

D(x) = (70 mi/h)*x

So we found a linear function that models Rachel's distance as a function of time.

If you want to learn more about linear functions:

brainly.com/question/1884491

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Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We know that the quadratic functions form are like this :

$y = a \: {x}^{2} + b \: x + c$

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STEP (2)

A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.

$y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c$

$f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11$

$- 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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