The temperature inside a certain industrial machine at time t seconds after startup, for 0 < t < 10, is given by h(t) = 42 t + 1 – 4t + 2 degrees Celsius. How many seconds after startup is the temperature inside the machine equal to 128 degrees Celsius?
1 answer:
Answer:
Step-by-step explanation:
We are given the temperature inside the machine from startup until 10 seconds later, the formula is:
We want to know at what time t the temperature inside the machine will be equal to 128 °C.
So we set:
Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side
and we simplify:
now it's easy to solve for t:
And thus we arrive to the solution.
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