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 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 repres class=
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 repres class=

Respuesta :

Answer:

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

Answer: D

Step-by-step explanation:


Answer:

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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