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Whitepunk [10]
3 years ago
11

A thermometer is taken from a room where the temperature is 23oC to the outdoors, where the temperature is −9oC. After one minut

e the thermometer reads 15oC.
(a) What will the reading on the thermometer be after 4 more minutes?
(b) When will the thermometer read −8oC?
Mathematics
1 answer:
Helga [31]3 years ago
3 0

Answer:

(a)\ 15\textdegree C\\(b)\ After\ 3\ minutes\ and\ 52.5\ Seconds\ from\ start

Step-by-step explanation:

Temperature in the room =23\textdegree C

Decrease in the temperature(outdoors)=23-15=8\textdegree C in 1\ minute.

Rate of decrease=8\textdegree C/minute

Let\ after\ x\ minutes\ temperature\ is\ y\\y=23-8x\ \ \ \ y\geq -9\textdegree C

(a) After 4\ more\ minutes\ total\ time\ is=1+4=5\ minutes

y=23-5\times 8\\y=-17\\

But it is not possible as outdoor temperature is -9\textdegree C so after -9\textdegree C temperature decrease will not occur.

Hence after 4 more minutes temperature=-9\textdegree C

(b) Let after t\ minutes temperature is -8\textdegree C

Here x=t,\ y=-8\textdegree C

-8=23-8x\\8x=23+8\\8x=31\\x=\frac{31}{8}\\x=3.875\ minutes=3\ minutes\ and\ 52.5\ seconds

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