5.3 Exit Ticket - Exponential Models

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Find the value of b.
Give your answer to 3 decimal places.

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Estimate the number of the users on this network there will be in 2023.
Give your answer correct to the nearest whole number.

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A cup of boiling water is placed in a room to cool. The temperature of the room is 20°C. This situation can be modelled by the exponential function T=a+b(k^{-m}), where T is the temperature of the water, in °C, and m is the number of minutes for which the cup has been placed in the room. A sketch of the situation is given as follows.

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Explain why a=20.

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Initially the temperature of the water is 100°C. Find the value of b.

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5.3 Exit Ticket - Exponential Models

Find the value of b.
Give your answer to 3 decimal places.

Estimate the number of the users on this network there will be in 2023.
Give your answer correct to the nearest whole number.

Explain why a=20.

Initially the temperature of the water is 100°C. Find the value of b.

Find the value of b.
Give your answer to 3 decimal places.

Estimate the number of the users on this network there will be in 2023.
Give your answer correct to the nearest whole number.

Forecast the year for which the number of the social network users reaches one million.
Give your answer correct to the nearest year.

Explain why a=20.

Initially the temperature of the water is 100°C. Find the value of b.

After being placed in the room for one minute, the temperature of the water is 84°C. Show that k=1.25.

Find the temperature of the water three minutes after it has been placed in the room.

Find the total time needed for the water to reach a temperature of 35°C. Give your answer in minutes and seconds, correct to the nearest second.

Forecast the year for which the number of the social network users reaches one million.
Give your answer correct to the nearest year.

After being placed in the room for one minute, the temperature of the water is 84°C. Show that k=1.25.

Find the temperature of the water three minutes after it has been placed in the room.

Find the total time needed for the water to reach a temperature of 35°C. Give your answer in minutes and seconds, correct to the nearest second.

5.3 Exit Ticket - Exponential Models

Find the value of b.Give your answer to 3 decimal places.

Estimate the number of the users on this network there will be in 2023.Give your answer correct to the nearest whole number.

Explain why a=20.

Initially the temperature of the water is 100°C. Find the value of b.

Find the value of b.Give your answer to 3 decimal places.

Estimate the number of the users on this network there will be in 2023.Give your answer correct to the nearest whole number.

Forecast the year for which the number of the social network users reaches one million.Give your answer correct to the nearest year.

Explain why a=20.

Initially the temperature of the water is 100°C. Find the value of b.

After being placed in the room for one minute, the temperature of the water is 84°C. Show that k=1.25.

Find the temperature of the water three minutes after it has been placed in the room.

Find the total time needed for the water to reach a temperature of 35°C. Give your answer in minutes and seconds, correct to the nearest second.

Forecast the year for which the number of the social network users reaches one million.Give your answer correct to the nearest year.

After being placed in the room for one minute, the temperature of the water is 84°C. Show that k=1.25.

Find the temperature of the water three minutes after it has been placed in the room.

Find the total time needed for the water to reach a temperature of 35°C. Give your answer in minutes and seconds, correct to the nearest second.

Find the value of b.
Give your answer to 3 decimal places.

Estimate the number of the users on this network there will be in 2023.
Give your answer correct to the nearest whole number.

Find the value of b.
Give your answer to 3 decimal places.

Estimate the number of the users on this network there will be in 2023.
Give your answer correct to the nearest whole number.

Forecast the year for which the number of the social network users reaches one million.
Give your answer correct to the nearest year.

Forecast the year for which the number of the social network users reaches one million.
Give your answer correct to the nearest year.