Question

A machine in a laboratory is set to steadily increase the temperature inside. The temperature in degrees Celsius inside the machine after being turned on is a function of time, in seconds, given by the equation f(t)=22+1.3t
1. What does f(3) mean in this situation?
2. Find the value of f(3) and interpret the value.
3. What does the equation f(t)=35 mean in this situation?
4. Solve the equation to find the value of t for the question.

Answer 1

Answer:

1) f(3) means the temperature after 3 seconds

2) f(3) = 22 + 1.3(3) = 25.9

Temperature after 3 seconds is 25.9°C

3) f(t) = 35 means after t seconds, temperature was 35°C

4) 35 = 22 + 1.3t

1.3t = 13

t = 10 seconds

Answer 2

Step-by-step explanation:

Step 1:  Answer the first question

f(3) means the temperature after 3 seconds

Step 2:  Answer the second question

The value of $f(3) = 22 + 1.3(3)$ → 25.9 degrees

The value of f(3) which is 25.9 means that after 3 seconds, the temperature is 25.9 degrees.

Step 3:  Answer the third question

f(t) = 35 means that after a t amount of seconds, the temperature is 35 degrees.

Step 4:  Answer the fourth question

$f(t) = 35$  so... $35 = 22 + 1.3t$

$35 - 22 = 22 - 22 + 1.3t$

$13 = 1.3t$

$13 / 1.3 = 1.3t / 1.3$

$10 = t$

10 seconds