Question

The table below shows the amount of a radioactive compound remaining after X years Sarah is compiling the data into a lab report including a graph and needs to determine what scale to use which statement is true about her data.

A. the y-intercept of the graph is 900, and the X increases, f(x) approaches 100.
B. the amount of radioactive substance will continue to Decay at a constant rate over time until it reaches the x-axis.
C. the y-intercept of the graph is 900, andaz x increases, f(x) approaches infinity.
D. the x-intercept of the graph is 900, and as X increases, f(x) approaches 100. ​

Answer 1

a

Explanation:

Answer 2

A. the y-intercept of the graph is 900, and as X increases, f(x) approaches 100.

Explanation:

The table can be described by the function ...

f(x) = 100 +800·2^-x

This is an exponential decay (not a constant-rate decay) from a y-intercept of 900 down to a minimum value of 100 (not zero).

The best description is that of choice A.