Answer:
1) he will drive 180 miles in 4 hours
2) 45 mph
3) 2 hours
4) 270 miles
Step-by-step 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. [tex]\frac{y}{x}=\frac{180}{4}=\frac{45}{1}=45[/tex] so in 1 hour he can drive 45 miles.
Number 3:
Now for this we should set up an equation [tex]y=45x[/tex]. 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.
[tex]y=45x\\90=45x\\x=2[/tex]
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.
[tex]y=45x\\y=45(6)\\y=270[/tex]
So if he would to drive for 6 hours he can drive 270 miles.
