keith lives 5/6 mile north of the school Karen lives 2/3 Mile North of the school what is the distance from Keith's house to Karen's house?

Option: B is the correct answer.

           B.9 gallons in the gas tank and 280 miles.  

Step-by-step explanation:

From the given figure we see that the line of best fit passes through the point (13,400) and (17,520)

We know that the equation of a line passing through two point (a,b) and (c,d) is calculated by using the formula

Here we have:

(a,b)=(13,400) and (c,d)=(17,520)

Hence, the equation of line of best fit is:

Now we will check each of the given options:

A)

0 gallons in the gas tank and 20 miles

when x=0 we have:

y=10≠20

Hence, option: A is incorrect.

B)

9 gallons in the gas tank and 280 miles .

when x=9 we have:

y=30×9+10

y=280

             Hence, option: B is correct.

C)

11 gallons in the gas tank and 360 miles

when x=11; we have:

y=30×11+10

y=340≠360

Hence, option: C is incorrect.

D)

19 gallons in the gas tank and 520 miles

when x=19; we have:

y=30×19+10

y=580≠520

Hence, option: D is incorrect.