Answer:
10 gallons
Step-by-step explanation:
84 ÷ 6.5 =12.9(The unit rate.)
Seeing as one gallon can get you 12.9 miles;
126÷12.9=9.7
So the answers 9.7 gallons, but if you need to round, then 10 to get a whole number.
Answer:
It is not a good model because neither point lies on the line.
Step-by-step explanation:
We can test each point on the equation of the line.
7x - 10y = 3
Point: (8, 5)
7(8) - 10(5) = 56 - 50 = 6
The left side equals 6, not 3, so point (8, 5) is not on that line.
Point: (-12, -9)
7(-12) - 10(-9) = -84 + 90 = 6
The left side equals 6 again, but the right side is 3, not 6.
Answer: It is not a good model because neither point lies on the line.
Equation of a line:

m = gradient: The difference between two y points and two x points.

c = y-intercept: Where the line crosses the y-axis (x=0)
You have:

so you are missing the m and the c.
To calculate m find two y coordinates -you have (12,
<u>7</u>) and (0, <u>
1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>
12</u>, 7) and (<u>
0</u>, 1)- This gives:



To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

When you plug these values into the equation you get your answer:
Answer:
trapazoid
Step-by-step explanation: