Evaluating and Solving an Equation Application
Identify the information given to you in the application problem below. Use that information to answer the questions that follow.

Round your answers to two decimal places as needed.
Julio is a door to door vacuum salesman. His weekly salary S(v)\displaystyle {S}{\left({v}\right)} is given by the linear function S(v)=420+115v\displaystyle {S}{\left({v}\right)}={420}+{115}{v}, where v\displaystyle {v} is the number of vacuums sold.
Identify the slope, and complete the following sentence to explain the meaning of the slope.

Julio earns $ per vacuum sold.
Find the Vertical Intercept. Complete the following sentence to explain the meaning of the Vertical Intercept.

If Julio sells vacuums, he will still earns a base salary of $.
Evaluate S(41)\displaystyle {S}{\left({41}\right)}. Complete the following sentence to explain the meaning of the Ordered Pair

If Julio sells vacuums, he will be paid $.
Find the value of v\displaystyle {v} where S(v)=7205\displaystyle {S}{\left({v}\right)}={7205}.Complete the following sentence to explain the meaning of the Ordered Pair.

For Julio to earn $, he needs to sell vacuums.