A bakery has prepared 320 ounces of bread dough. a machine will cut the dough into a loaf. the amount of d dough left after m minutes is given by the function d (m) = - 5m+320. how many minutes will it take the machine to use all the dough? find a reasonable domain and range for this situation.

Question

Mathematics

Boomhauer

19 January, 00:46

A bakery has prepared 320 ounces of bread dough. a machine will cut the dough into a loaf. the amount of d dough left after m minutes is given by the function d (m) = - 5m+320. how many minutes will it take the machine to use all the dough? find a reasonable domain and range for this situation.

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Answers (1)

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Bossy · Answer 1

A. how many minutes will it take the machine to use all the dough?

We are given the formula:

d (m) = - 5 m + 320

To find for the value of m when all dough is used, we set d (m) = 0:

0 = - 5 m + 320

m = 320 / 5

m = 64 minutes

B. The domain is time and time can never be negative so it always starts at zero, so at time = 0, the range d (m) is:

d (m) = - 5 (0) + 320

d (m) = 320

The other domain and range is already described in (A.), when all dough is used up.

So the pair of reasonable domain and range is:

(0, 320), (64, 0)