The manager of the video department at a department store plans to purchase a large number of DVDs of a recent movie. One supplier is selling boxes of 20 DVD movies for $240, and a second supplier is selling boxes of 14 DVD movies for $170. Only complete boxes of DVD movies can be purchased. Complete part a) and b) below. a) a) If the manager can purchase boxes of DVD movies from either or both suppliers, determine the maximum number of DVD movies that can be purchased for $415. Indicate how many boxes of 20 and how many boxes of 14 will be purchased.
— box(es) of 20 and — box(es) of 14

b) How much will the DVD movies cost?
They will cost $—

1 box of 20 and 1 box of 14

They will cost $410

Step-by-step explanation:

1. Find how many boxes of 20 DVD movies can be bought

415 - 240 = 175

1 box of 20 DVD movies can be sold

2. Find how many boxes of 14 DVD movies can be bought from $175

175 - 170 = 5

1 box of 14 DVD movies can be bought

3. Find the cost

240 + 170 = 410

The equation of the line that passes through (0, 0) and (4, 5) is:

y = (5/4)*x.

A general line can be written as:

y = a*x + b

where a is the slope, and b is the y-intercept.

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

Here, we know that the line passes through the points (0, 0) and (4, 5), then the slope will be:

then we have:

y = (5/4)*x + b

To find the value of b, notice that the line passes through the point (0, 0), this means that when x = 0, we also have y = 0, replacing these we get:

0 = (5/4)*0 + b

0 = b

Then the equation of the line is:

y = (5/4)*x

The correct option is D.

If you want to learn more about linear equations, you can read:

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