Is y=4x-5 proportional

A proportional relation between two numbers, x and y is when:

y= k*x, where k is a real number.

this is read as "the number y is k times the number x" so y is proportional to x, and the constant of proportionality is k.

The equation in the problem is: y = 4x - 5, here you have an x-intercept equal to -5, this quantity breaks the proportionality relation. So in this case y is not proportional to x.

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