A plumber charges $50 for a service call plus $80 per hour. If she spends no longer than 8 hours a day at any one site, find a linear function that represents her total daily charges C (in dollars) as a function of time t (in hours) spent at any one given location.

.

Step-by-step explanation:

Let C represent total daily charges in dollars and t represent time in hours.

We have been given that a plumber charges $50 for a service call plus $80 per hour.  

The amount charged for t hours would be .

The total amount charged for t hours would be .

We are also told that plumber spends no longer than 8 hours a day at any one site, this means that time t have a restriction as:

Therefore, our required cost function would be .

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d