Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation, using to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.
$22 = $10 + ($0.05 * m)
To write the equation, we can start by breaking down the components of Bob's phone bill. We know that Bob's bill consists of a $10 fee plus $0.05 per minute. Let x represent the number of minutes Bob used in July.
The equation to model Bob's situation is:
10 + 0.05x = 22
To solve for x, we can solve this equation:
10 + 0.05x = 22
First, we can subtract 10 from both sides of the equation:
0.05x = 12
Next, we can divide both sides of the equation by 0.05:
x = 240
Therefore, Bob used 240 minutes on his phone bill in July.
To write an equation to model the situation, we need to consider the two components of Bob's monthly phone bill. Firstly, there is a $10 fee that is paid regardless of the number of minutes used. Secondly, there is an additional charge of $0.05 per minute.
The equation to model the situation can be written as:
Total bill = $10 + ($0.05 × minutes)
Given that Bob's phone bill for July was $22, we can substitute the values into the equation to solve for the number of phone minutes (represented by 'minutes') Bob used in July.
$22 = $10 + ($0.05 × minutes)
Now, let's solve for 'minutes':
$22 - $10 = $0.05 × minutes
$12 = $0.05 × minutes
To isolate 'minutes', we divide both sides of the equation by $0.05:
$12 / $0.05 = minutes
Simplifying the right side of the equation:
240 = minutes
Therefore, Bob used 240 minutes of phone usage in July.