A car starts a journey with a full tank of gas. The equation y=16 - 0.05x relates the number of gallons of gas, y, left in the t
1 answer:
We are given that a car starts a journey with a full tank of gas. The equation relates the number of gallons of gas (y) left in the tank to the number of miles the car has traveled(x).
A. We will find y intercept by substituting x=0 in our equation,
Now let us find our x-intercept by substituting y=0 in our equation,
Therefore, x-intercept is 320 and y-intercept is 16.
B. Our x-intercept represents that after travelling 320 miles there were 0 or none gallons of gas left in tank.
C. Our y-intercept represents that there were 16 gallons of gas in car tank when car started the journey.
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Answer:
Option: B is the correct answer.
B) Decay, y- intercept = 3.4, rate is 34%
Step-by-step explanation:
We are given an exponential equation as follows:
We know that any exponential function of the type:
is growth function if: b>1
and is a decay function if 0< b< 1
Hence, here we have: b=0.66<1
Hence, the function is a decay function.
Also, we know that the y-intercept of a function is the point where x=0
Hence, we take x=0
we have:
Hence, the y-intercept is: 3.4
Also, the rate of a function is denoted by 'r'
where b=1-r
⇒ 0.66=1-r
⇒ r=1-0.66
⇒ r=0.34
Hence, the rate is: 34%
option: B is the correct answer.