To understand the situation represented by the equation \(45w + 123.95 = 753.95\), we can break it down.
Let's interpret the equation:
- Variable \(w\): This could represent a number of items, hours worked, or some other countable quantity.
- The term \(45w\): This suggests that each item or hour has a cost or value of $45.
- The term \(123.95\): This could represent a fixed cost or initial amount, such as an installation fee, subscription fee, or some other fixed expense.
- The term \(753.95\): This is the total amount of money spent or earned.
Putting this together, the equation can be interpreted as finding out how many items (or hours) \(w\) need to be accounted for in order to reach a total expenditure or income of $753.95, where there is a $123.95 starting point and each item (or hour) adds $45.
A possible situation that this equation could represent is:
A customer is purchasing some items where the total cost is $753.95. The customer also pays a base fee of $123.95, and each additional item costs $45. The equation is used to find the number of items purchased.
To find \(w\), you would solve the equation:
\[ 45w = 753.95 - 123.95 \] \[ 45w = 630 \] \[ w = \frac{630}{45} \] \[ w = 14 \]
Thus, this situation suggests that the customer has purchased 14 items.
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