Respuesta :
Answer:
t =amount of texts
a. 0.01t+20=y
b. 50=y
so that means that they equal each other
0.01t+20=50
-20
0.01t=30
t=3001
Hope This Helps!!!
Answer:
For plan B to save money cell phone user need to send 3000 texts per month as [tex]\frac{x}{y}[/tex] expresses the average texts sent per month by cell phone user and its obtained value is 3000.
Step-by-step explanation:
In the question it is given that a cell phone company offers two plans for minutes.
Plan A: $20 per month and $1 for every one hundred texts.
Plan B: $50 per month with free unlimited texts.
It is required to find that how many texts would be needed to send per month for plan B to save money. be needed to send per month for plan B to save money.
Step 1 of 5
In Plan A $20 per month and $1 for every one hundred texts are costed so the cost of Plan A is given by following equation,
[tex]$A=20 y+\frac{x}{100}$[/tex]
In Plan B $50 per month with free unlimited texts are costed so the cost of Plan B is given by following equation,
[tex]$B=50 y$[/tex]
Step 2 of 5
Now comparing the obtained equations [tex]$A=20 y+\frac{x}{100}$[/tex]
and B=50y.
[tex]$20 y+\frac{x}{100}=50 y$[/tex]
Step 3 of 5
Subtract 20y from both the sides of the obtained equation [tex]$20 y+\frac{x}{100}=50 y$[/tex] and simplify using subtraction properties.
[tex]$\begin{aligned}&20 y+\frac{x}{100}-20 y=50 y-20 y \\&\frac{x}{100}=30 y\end{aligned}$[/tex]
Step 4 of 5
Multiply both the sides of the obtained equation [tex]$\frac{x}{100}=30 y$[/tex] by 100 and simplify using multiplication properties.
[tex]$\begin{aligned}&\frac{x}{100} \cdot 100=30 y .100 \\&x=3000 y\end{aligned}$[/tex]
Step 5 of 5
Divide both the sides of the obtained equation x=3000y by y and simplify using division properties.
[tex]$\begin{aligned}&\frac{x}{y}=\frac{3000 y}{y} \\&\frac{x}{y}=3000\end{aligned}$[/tex]
As [tex]$\frac{x}{y}$[/tex] expresses the average texts sent per month by cell phone user. So, for plan B to save money cell phone user need to send 3000 texts per month.
