Suppose a population of 250 crickets doubles in size every 6 months. how many crickets will there be after 2 years?

For this case we have a function of the form:

Where,

A: initial value

b: growth rate

x: time in months

Rewriting the equation we have:

When 2 years pass, we have 24 months.

Therefore, substituting the value of x = 24 in the given equation we have:

there will be 4000 crickets after 2 years

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt