Marcos purchases a top-up card for his pre-paid cell phone. His remaining balance, B, can be modeled by the equation B = 35 − 0.4 n , where n is the number of minutes he's talked since purchasing the card. How much money was on the card when he purchased it?

Therefore,

$35 money was in the card  when he purchased it.

Step-by-step explanation:

Given:

Marcos purchases a top-up card for his pre-paid cell phone.

His remaining balance, B, can be modeled by the equation,

Where,

n = number of minutes

To Find:

How much money was on the card when he purchased it = ?

B = ? at n = 0

Solution:

So Money on the card when he purchased it , number of minutes will be zero ,

Put n = 0 in the Equation we get,

Also it is called as B - intercept

Therefore,

$35 money was in the card  when he purchased it.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions