Explain how finding 4 x 384 can help you find 4x5384. then find both products.

1 answer:

6 0

Finding 4 x 384 helps you find 4 x 5384 because once you have the answer to 4 x 384, you can then just add the answer to 4 x 5000 to the answer of 4 x 384.
4 x 384 = 1,536
4 x 5000 = 20,000
20,000 + 1,536 = 21,536

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Consider rectangular box with

length x units (x≥0);
width 3 units;
height (8-x) units (8-x≥0, then x≤8).

The volume of the rectangular box can be calculated as

$V_{box}=\text{length}\cdot \text{width}\cdot \text{height}.$

In your case,

$V_{box}=3\cdot x\cdot (8-x).$

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).

From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.

Then the volume will be V=0 (minimal).

Answer: correct choices are B (the maximum possible length), C (the minimum possible height)