Suppose you start with a full tank of gas (17 gallons) in your truck. after driving 4 hours, you now have 3 gallons left. if x is the number of hours you have been driving, then y is the number of gallons left in the tank. at what rate is your truck using gas? state your answer as a reduced fraction. incorrect gallons per hour find an equation of a line in the form y = mx + b that describes the amount of gas in your tank. y =

Part a) The rate is equal to

Part b)

Step-by-step explanation:

step 1

Let

x-----> the number of hours

y----> the number of gallons left in the tank

we know that

For -----> represent the y-intercept

For

Find the rate (slope of the linear equation)

simplify

step 2

Find the equation of the line

the equation of the line in slope intercept form is equal to

we have

substitute

idk

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)