Which of the following points lies on the circle whose center is at the origin and whose radius is 10?

Unfortunately, you haven't shared "the following points."

The equation of a circle centered at the origin and whose radius is 10 is

x^2 + y^2 = 10^2.

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