Step-by-step explanation:
Exponential function is given by general form
Where a and b are constants.
say a=1 and b=2 then we can write function as :
or
To graph this or any exponential function, we just need to find some points then join them by a curved line.
Like plug x=0, 1, 2,... into above function and find points:
plug x=1
Hence point is (1,2)
Find more points similarly then graph them to get the graph as shown below:
Answer:
Graph in the image attached.
Step-by-step explanation:
Using the model of a linear equation, we have:
'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.
So if David starts the trip with 14 gallons of gas, we have b = 14.
'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.
So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]
So our equation is:
The graph of this equation is in the image attached.
