Question

50 points

answer this questions based on the graph :

-what does the point B represent?

-what is the unit rate of relationship shown on the graph

- how long does it take to drive 90 miles?

- how many miles can be driven in 6 hours?

Answer 1

1) he will drive 180 miles in 4 hours

2) 45 mph

3) 2 hours

4) 270 miles

Explanation:

Number 1:

The point is on (4,180) and since the x is hours and the y is miles. In 4 hours he can drive 180 miles.

Number 2:

For the unit rate we will use the same point (4,180) and put it the y over the x and simplify.
`(y)/(x)=(180)/(4)=(45)/(1)=45` so in 1 hour he can drive 45 miles.

Number 3:

Now for this we should set up an equation
`y=45x`. So they told us if he drove for 90 miles that means we will substitute the y and place the 90 because as I said in number 1 y is miles.

`y=45x\\90=45x\\x=2`

So it'll take him 2 hours to drive 90 miles.

Number 4:

Now they are telling us how many miles can he drive if he drives for 6 hours. We can use the same equation for this and instead we will be substituting for x since x is hours.

`y=45x\\y=45(6)\\y=270`

So if he would to drive for 6 hours he can drive 270 miles.