Would anyone care to explain how to get through this problem in the photo? I'm at a complete dead end! Any help would be appreciated!

Step-by-step explanation:

The slope of the equation tangent to y = f(x) at x = 4 is equal to f'(4). Therefore,

We also know that the line passes through the tangent point at (4, -1) so we can write the slope-intercept form of the equation as

or

so our equation is

or in standard form,

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