You saved $300 to spend over the summer. you decide to budget $50 to spend each week.
part c: what is the slope of the line? what does the slope represent?
part d: what is the y-intercept? what does this point represent?

Part c)

The Slope of the line is: m=-50 and represents the amount of money spent per week.

Part d)

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

   Eqn(1).

where:

: is our dependent variable that changes as a function of x

: is our independent variable that 'controls' our equation of y

: is the slope of the line

: is our y-intercept assuming an ⇔  relationship graph.

This means that as changes so does as a result.

Given Information:

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

So finally we have the following linear equation of:

   Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various values we have:

Week 1: we have dollars.

Week 2: we have dollars.

Thus having understood the above we can comment on the questions asked as follow:

Part c)

The Slope of the line is: and represents the amount of money spent per week.

Part d)

The y-intercept is: and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).