Question

gianna is going to use a computer at an internet cafe. the cafe has an initial charge of $10 to use a computer and an additional charge of $0.60 for every minute of use. make a table of values and then write an equation for c, in terms of t, representing the total cost of using a computer for t minutes at the internet cafe. number of minutes total cost to use computer 0 1 2 3

Explanation:

Table of Values Calculation

Step 1: For \( t = 0 \) minutes

The initial charge is $10, and there's no additional charge for 0 minutes. So the total cost \( C = 10 + 0.60\times0 = 10 \).

Step 2: For \( t = 1 \) minute

The initial charge is $10, and the additional charge for 1 minute is \( 0.60\times1 = 0.60 \). So total cost \( C = 10 + 0.60 = 10.60 \).

Step 3: For \( t = 2 \) minutes

The initial charge is $10, and the additional charge for 2 minutes is \( 0.60\times2 = 1.20 \). So total cost \( C = 10 + 1.20 = 11.20 \).

Step 4: For \( t = 3 \) minutes

The initial charge is $10, and the additional charge for 3 minutes is \( 0.60\times3 = 1.80 \). So total cost \( C = 10 + 1.80 = 11.80 \).

Filling the table:

Number of Minutes	Total Cost to Use Computer
1	$10.60
2	$11.20
3	$11.80

Equation Writing

Step 1: Identify the components of the cost

The total cost \( C \) has two parts: the fixed initial charge of $10 and the variable charge of $0.60 per minute (\( t \) minutes).

Step 2: Form the equation

The variable charge for \( t \) minutes is \( 0.60t \), and adding the initial charge of 10, we get the equation \( C = 10 + 0.60t \).

Answer:

Table values: 0 minutes - $10.00, 1 minute - $10.60, 2 minutes - $11.20, 3 minutes - $11.80.
Equation: \( C = 10 + 0.60t \)