We are trying to find the average speed of the plane, which is mph, or $\dfrac{\textrm{miles}}{\textrm{hour}}$ . Using proportions, we can find the average speed of the plane in mph:

$\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}$

Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that $x$ .

$\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}$

Multiply the entire equation by $1 \,\textrm{hour}$

$\dfrac{525}{1.75} = 300 = x$

Divide both sides of the equation by $1 \,\textrm{mile}$ to clear both sides of the mile unit

The average speed of the plane is 300 mph.

6 0

3 years ago

(4,2);slope=3<br><br>help me out

ivolga24 [154]

We have a point and a slope, so let's use the point slope formula!

$(y - y1) = m(x - x1)$
where
x1=4
y1=2
and m=3

$(y - 2) = 3(x - 4) \\ y - 2 = 3x - 12 \\ y = 3x - 10$

8 0

3 years ago