Question

A student working for a delivery company earns $57.50 per day plus $4.75 for each package she delivers . how many deliveries must she make each day to earn 200$ a day

Answer 1

The first thing we must do for this case is to define variables.

We have then:

x: number of packages

y: amount of money the student earns per day

The equation modeling the problem is given by:

`y = 4.75x + 57.50`

So, in order to earn $ 200 we have:

`4.75x + 57.50 = 200`

From here, we clear the value of x.

We have then:

`4.75x = 200-57.50`

`4.75x = 142.5`

`x = (142.5)/(4.75)`

`x = 30`

Answer:

she must make 30 deliveries each day to earn 200 $ a day

Answer 2

`\\ \text{A student working for a delivery company earns }\$57.50 \text{ per day}\\ \\ \text{and an additional }\$4.75 \text{ for each package she delivers.}\\ \\ \text{let she had to make x deliveries in order to earn 200 dollars a day.}\\ \\ \text{so we have}\\ \\ \text{Per day fix earning + Deliveries per day at a rate of 4.75 dollars}=200\\ \\ \Rightarrow 57.50+4.75x=200\\ \\ \Rightarrow 4.75x=200-57.50\\ \\ \Rightarrow 4.75x=142.50\\ \\ \Rightarrow x=(142.50)/(4.75)\\ \\ \Rightarrow x=30`

Hence, in order to earn 200 dollars every day she must do 30 deliveries