Question

A new electronic store opened recently. There are several sales associate positions that pay an hourly rate of $7.50 plus a 4.5% commission based on the sales associates total weeking sales. Sales assqqociates are guaranteed 30 hrs of work per week,but no more that 40 hrs. At the electronics store, sales associates average $7,000 in sales each week. USE THE AVERAGE WEEKLY SALES FIGURE OF $7,000 AND HOURLY RATE OF $7.50. WRITE AN EQUATION, CREATE A TABLE, AND CREATE A GRAPH FOR A SALES ASSOCIATE'S WEEKLY EARNINGS, f(x), where x represents the total number of hours the sales associate would work.​

Answer 1

Answer: f(x) = 7.50x + 315

Step-by-step explanation:

Let x represent the number of hours

Given: rate = 7.50,     commission = 4.5%(7,000) = 315

Equation: f(x) = 7.50x + 315

Table:

$\boxed{\begin{array}{c||r|c||c}\underline{\text{Hours}}&\underline{\text{Wage}}&\underline{\text{Commission}}&\underline{\text{Weekly Earnings}}\\30&7.5(30)=225.00&315&540.00\\31&7.5(31)=232.50&315&547.50\\32&7.5(32)=240.00&315&555.00\\33&7.5(33)=247.50&315&562.50\\34&7.5(34)=255.00&315&570.00\\35&7.5(35)=262.50&315&577.50\\36&7.5(36)=270.00&315&585.00\\37&7.5(37)=277.50&315&592.50\\38&7.5(38)=285.00&315&600.00\\39&7.5(39)=292.50&315&607.50\\40&7.5(40)=300.00&315&615.00\end{array}}$

Graph: (see below)