Calculus expert wanted (ignore the stuff i was writing)edit: just found out there was a point system on this app lol

Given how complicated the derivative,

looks, integrating it to find seems futile, and actually not what needs to be done. You're asked to approximate using a given point and the value of the derivative at any point. To do that, you can use a linear approximation.

which comes from exploiting the mean value theorem (solve for above to see how)

Then

The closest answer would be B. The reason the listed answer is so far off is because 7 is not so close to 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

16 is the absolute value

step-by-step explanation: