Math

QuestionFind T(1)T(1) from the graph, explain its meaning, and determine when the temperature reaches 70F70^{\circ} \mathrm{F}.

Studdy Solution

STEP 1

Assumptions1. The function (h)(h) represents the temperature in Miami, Florida in degrees Fahrenheit, where hh is the number of hours since7 A.M. . The temperature at1 hour is60 degrees Fahrenheit.
3. The temperature reaches70 degrees Fahrenheit after5 hours.

STEP 2

For question4, we are asked to find the approximate value of the graph for (1)(1). Given that the temperature at1 hour is60 degrees Fahrenheit, we can say that(1)=60(1) =60^{\circ}

STEP 3

For question5, we are asked to interpret what (1)(1) means in the context of the problem. Given that hh is the number of hours since7 A.M., (1)(1) represents the temperature in Miami, Florida1 hour after7 A.M.

STEP 4

For question6, we are asked to find at what time the temperature is 7070^{\circ}. Given that the temperature reaches70 degrees Fahrenheit after hours, we can say thatThe temperature is 7070^{\circ} at h=h =.

STEP 5

However, since hh is the number of hours since7 A.M., we need to convert this to a standard time format. We can do this by adding the number of hours to7 A.M.
Time=7A.M.+hTime =7\, A.M. + h

STEP 6

Now, plug in the value for hh to calculate the time.
Time=A.M.+5hoursTime =\, A.M. +5\, hours

STEP 7

Calculate the time when the temperature is 7070^{\circ}.
Time=7A.M.+5hours=12.M.Time =7\, A.M. +5\, hours =12\,.M.
The temperature is 7070^{\circ} at12.M.

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