Answer:
F(t) = 10 + 5(t)
Step-by-step explanation:
The complete question is as follows;
Anumeha is mowing lawns for a summer job. For each lawn she mows, she charges a $10 starting fee plus an hourly rate. For example, her fee for a 5-hour job is $35. Let f(t) denote Anumeha's fee for a job f (in dollars) based on how many hours (t) were needed to finish it. Write the formula for this function.
Solution
We aim to establish the formula F(t) representing the fee Anumeha charges per job.
Key to formulating this function is understanding the constant charge she applies per job.
We know she earns $35 for mowing for 5 hours.
Therefore, the constant fee can be deduced as follows;
Since it’s a $10 starting fee along with an hourly rate;
35 = 10 + 5(x)
where x refers to the hourly rate
35 = 10 + 5x
5x = 35-10
5x = 25
x = 25/5
x = $5
This indicates that she charges a constant fee of $5 per hour
Thus, we can now write the equation.
F(t) = 10 + 5(t)
where t represents the number of hours spent on each job
