A thermometer reading 7 °C is brought into a room with a constant temperature of 34°C. If the thermometer reads 14 °C after 4 minutes, what will it read after being in the room for 6 minutes? For 11 minutes?

For this case we are going to define the following variable:

x: time in minutes

We write the linear function that represents the problem:

t (x) = (14/4) x + 7

For x = 6 we have:

t (6) = (14/4) * (6) + 7

t (6) = 28 ° C

For x = 11 we have:

t (11) = (14/4) * (11) + 7

t (11) = 45.5 ° C

Answer:

t (6) = 28 ° C

t (11) = 45.5 ° C