Mila spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -1.6°F. Between 9am and noon, the temperature rose 6.6°F. Between noon and 3pm, the temperature increased by 2.8°F. Between 3pm and 6pm, the temperature went down 10.5°F. What was the temperature at 6pm?

We can conclude the following information:

Every 3 hours the temperature changes.

At 9 AM, the temperature was -1.6°F:

9 AM = -1.6°F =>

Between 9 AM and noon, the temperature rose 6.6°F:

12 PM = -1.6 + 6.6 = 5°F =>

Between noon and 3 PM, the temperature increased by 2.8°F:

3 PM = 5 + 2.8 = 7.8°F =>

Between 3 PM and 6 PM, the temperature went down 10.5°F:

6 PM = 7.8 - 10.5 = -2.7°F

What was the temperature at 6 PM?

-2.7°F

The length of the shadow cast by the nearby building using the proportional relationship between the measure of the building and flagpole will be 125 feets

To obtain the length of the shadow cast by the building :

Length flagpole = lf = 40 feets

flagpole shadow = sf = 25 feets

Length building = lb = 200 feets

shadow of building = sb =?

(lf / sf) = (lb / sb)

(40 / 25) = (200 / sb)

Cross multiply :

40 × sb = 200 × 25

40 × sb = 5000

sb = 5000 / 40

sb = 125 feets

Therefore, the length of the shadow cast by the building will be 125 feets

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