Question

Lillian is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. The initial charge to use the computers is $3 and the total charge would be $6 for 5 minutes of use. Write an equation for the function C ( t ) , C(t), representing the total cost of using a computer for t t minutes at the internet cafe.

Answer 1

Answer:

The equation is $C(t) =3+0.6t$.

Step-by-step explanation:

Given:

Initial Charge = $3

Total Cost  = $6

Number of minutes used = 5 minutes

Let the additional charge applied per minute be 'x'.

Solution:

Now we can say that;

Total cost to use Computer will be equal to Initial Charge plus additional charge applied per minute multiplied by number of minutes.

framing in equation form we get;

$6=3+5x$

Now Subtracting both side by 3 using subtraction property of equality we get;

$6-3=3+5x-3\\\\3=5x$

Now Dividing both side by 5 using Division property of equality we get;

$\frac{3}{5}=\frac{5x}{5}\\\\x =\ 0.6$

Hence Additional charge is $0.6.

Now we need to write the equation for the C(t).

Where C(t) ⇒ Total cost using computer

t ⇒ time in minutes at the cafe

Now we know that;

Total cost to use Computer will be equal to Initial Charge plus additional charge applied per minute multiplied by number of minutes.

So with data given equation can be framed as;

$C(t) =3+0.6t$

Hence, The equation is $C(t) =3+0.6t$.