Let
x---------> represent the number of miles Troy's has driven
y--------> represent the amount of gas in Troy's truck
we know that
the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is
where
m is the slope--------->
in this problem the slope is equal to
it's negative because the tank is going to be consumed
assuming he starts with a full tank
substitute in the formula above
therefore
the answer is
the equation
<em>So</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>2</em><em>2</em><em>.</em>
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>
<em>H</em><em>ope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em>
<em>good</em><em> </em><em>l</em><em>uck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>
<em>~</em><em>p</em><em>r</em><em>a</em><em>g</em><em>y</em><em>a</em>
Answer:
a = - 2
Step-by-step explanation:
calculate the slope of the 2 given points and equate to 0.75
m =
with (x₁, y₁ ) = (4, a ) and (x₂, y₂ ) = (8, 1 )
m = =
then equating
= 0.75 ( multiply both sides by 4 to clear the fraction )
1 - a = 3 ( subtract 1 from both sides )
- a = 2 ( multiply both sides by - 1 )
a = - 2