Question

(b) A taco vendor has decided to move to another location to sell tacos. He will need to figure out how much it will cost him to rent a space and the price that he will sell for a taco. The table below shows the rate for Mall 1. Mall 1 Rate Rent per week = $350 AND Price of 1 taco =$8.75 If the number of tacos sold is x, then his weekly salary, W1, at the end of the week in Mall 1, is given by the formula: W. = 8.75x – 350 (i) Determine how much is his salary if he sold 240 tacos in one week [1] (ii) Suppose that the taco vendor made $4375 at Mall 1 in two weeks. What is the number of tacos he sold during this time? [2]

Answer 1

i)

To find the salary of the taco vendor when 240 tacos are sold, replace x=240 into the given formula for the weekly salary:

`\begin{gathered} W=8.75x-350 \\ \\ \Rightarrow W=8.75(240)-350 \\ =2100-350 \\ =1750 \end{gathered}`

Then, his salary is equal to $1750.

ii)

During the time period of two weeks, the taco vendor must have paid the rent of $350 two times. Then, he paid a total of $700 for the rent of two weeks.

Since his salary was $4375, the total amount for selling tacos must be equal to $4375 plus $700:

`4375+700=5075`

On the other hand, this salary comes from selling x tacos at $8.75 each. Then:

`8.75x=5075`

Solve for x:

`x=(5075)/(8.75)=580`

Then, the number of tacos sold during two weeks was 580.

Therefore, the answers are:

i) His salary for selling 240 tacos in one week is $1750.

ii) The number of tacos sold in two weeks if his salary was $4375, is 580.