Question

The daily cost of hiring an Algebra tutor, y, for x hours can modeled using a linear function. The tutor charges a fixed traveling fee of $10, plus $30 per hour. The tutor will work for a maximum of 4 hours in one day. For one day of work, what is the domain of the function for this situation?

Answer 1

40 and 130

Explanation:

Let the total amount be y

and let the number of hours be x

given that the fixed charge is $10

and the charge per hour is $30

also given is that the tutor will work for a maximum of 4 hours

therefore the total amount the tutor will earn is modelled as

y=10+30x

for 4 hours the tutor will earn

y=10+30*4

y=10+120

y=130

therefore the domain lie between 40 and 130