A large bowl can hold 3.5 pints. A smaller bowl can hold less than 60% of the amount. Graph the possible amounts, in quarts, that can be held by the smaller bowl.

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30-03-2022
Mathematics

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A large bowl can hold 3.5 pints. A smaller bowl can hold less than 60% of the amount. Graph the possible amounts, in quarts, that can be held by the smaller bowl.

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ajeigbeibraheem ajeigbeibraheem · Answer 1 · 2022-04-13T10:44:24+02:00

The graph showing the possible amounts in quarts that can be held by the smaller bowl is plotted against the percentage of the amount in the image attached below.

What is dimensional analysis?

Dimensional analysis is the analysis that implies that the measure of physical quantities needs to be expressed in the same fundamental quantities.

From the parameters given:

A large bowl holds 3.5 pints of liquid
A smaller bowl can hold less than 60% of the large bowl

i.e.

= 0.60 × 3.5

= 2.1 pints

Using dimensional analysis,

2.1 pints is equivalent to 1.05 liquid quarts.
3.5 pints is equivalent to 1.75 liquid quarts.

Thus, by using the desmos graphical calculator, we can plot the amounts in quarts related to their percenetage. Using the following data on x and y axis;

y axis = amounts in quarts
x axis = percentage

The graph can be seen in the image attached below.

Learn more about dimensional analysis here:

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