Matthew invested $4,700 in an account paying an interest rate of 3 3 8 3 8 3 % compounded monthly. Peyton invested $4,700 in an account paying an interest rate of 3 1 4 3 4 1 % compounded continuously. After 14 years, how much more money would Matthew have in his account than Peyton, to the nearest dollar?

x-intercept:

A line that crosses the graph at x-axis.

i.e substitute y = 0 and solve for x.

As per the statement:

A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water

Given the graph:

Substitute y = 0  we have;

⇒

⇒

⇒

⇒

⇒

By zero product property we have;

x-20 =0 and x+10 = 0

⇒x = 20 and x = -10

Therefore,  the x-intercept represents the water has no larvae at −10 degrees Celsius and 20 degrees Celsius.