For manufacturers of computer chips, it is important to consider the fraction F of chips that will fail after t years of service. This fraction can sometimes be approximated by the following formula, where c is a positive constant.
F=1-e^-ct
How does the value of c affect the reliability of a chip?
Choose one answer
a) Larger values of c cause F to increase less rapidly, indicating a less reliable chip.
b) Larger values of c cause F to increase less rapidly, indicating a more reliable chip.
c) Larger values of c cause F to increase more rapidly, indicating a less reliable chip.

Question

For manufacturers of computer chips, it is important to consider the fraction F of chips that will fail after t years of service. This fraction can sometimes be approximated by the following formula, where c is a positive constant.
F=1-e^-ct
How does the value of c affect the reliability of a chip?
Choose one answer
a) Larger values of c cause F to increase less rapidly, indicating a less reliable chip.
b) Larger values of c cause F to increase less rapidly, indicating a more reliable chip.
c) Larger values of c cause F to increase more rapidly, indicating a less reliable chip.

raspberryjam · Answer

Try testing the equation. Try putting a smaller value of c in and then try it again with a larger value.
Did F increase or decrease when you put the larger value in?