The exponential function in the graph shows the mass, in grams, of a radioactive substance as it decays over time, in hours. the linear function in the table represents the increase in a substance’s mass, in grams, over time, in hours. how does the y-intercept of the exponential function compare to the y-intercept of the linear function? drag the correct answer to the box to complete the statement. the y-intercept of the exponential function is the y-intercept of the linear function. a. 10 less than b. 10 more than c. 2 more than d. 2 less than

The y-intercept of the exponential function is 2 less than the y-intercept of the linear function.

D

Step-by-step explanation:

D. 2 less than

Step-by-step explanation:

From the graph, we can see that the y-intercept of the exponential function is 10.  This is the point where the graph crosses the y-axis.

The lowest value for x in the table is x=2.  The y-value at this point is 20. We can also see from the table that the rate of change is 4; this is because the y-value increases by 4 for each increase of 1 in x.

We use this and work backward to find the y-intercept.  The value when x=1 would be 20-4 = 16; and the value when x=0, crossing the y-axis, would be 16-4=12.  This is the y-intercept.

This means that the y-intercept for the exponential function is 2 less than that of the linear function.

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step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)