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:
[tex] y = 4.75x + 57.50 [/tex]
So, in order to earn $ 200 we have:
[tex] 4.75x + 57.50 = 200 [/tex]
From here, we clear the value of x.
We have then:
[tex] 4.75x = 200-57.50 [/tex]
[tex] 4.75x = 142.5 [/tex]
[tex] x = \frac{142.5}{4.75} [/tex]
[tex] x = 30 [/tex]
Answer:
she must make 30 deliveries each day to earn 200 $ a day
[tex]\\ \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=\frac{142.50}{4.75}\\ \\ \Rightarrow x=30[/tex]
Hence, in order to earn 200 dollars every day she must do 30 deliveries
