Question

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. Time (h) Mass (g) 2 20 3 24 4 28 5 32 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. 10 less than10 more than2 more than2 less than The y-intercept of the exponential function is the y-intercept of the linear function.

Answer 1

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

     Each time in the table the output has 4 more than the previous output, so just subtract 8 from the from the 20 output to find out that the y-intercept is 12.

    The y-intercept is represented on the graph at the point where y=0 which is 10 by the way.

     10 is 2 less than 12.