In ten minutes he traveled 8 miles Write the equation for the relationship between x and y.

Mathematics

1 answer:

Westkost [7]2 years ago

7 0

Answer:

Step-by-step explanation:

The trick here is to make sure that the units are standard units, like miles / hour.

10 minutes = 10 / 60 hours.

k = 1/6 of an hour

y = k x

k = y/x

k = 8 miles / 1/6 of an hour

k = 8 * 6 // 1/6 * 6

k = 48 miles / hr

y = k x

y = 48 * x

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We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

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Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

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However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

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If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since $x-489\leq511$ , by 2) we know that this would be possible.