Tariq is a mechanic. He charges his customers by the hour. The first hour of service costs $122. The second hour of service costs $171.99. The third hour of service costs $221.98. Write an equation in the form of
y=c+d(x−1) to represent this situation. Explain how you got your equatiion HELP
can someone answer quickly i dont wanna be yelled at its already a day behind.
CAN SOMEONE ANSWER THIS IS THE LAST QUESTION OF MY TEST AND IM STUCK AND IF ITS NOT FINISHED BY TODAY I GET YELLED BY MY FAMILY
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the question is poorly worded.
A 2-hour service costs $171.99
The second hour only costs $49.99
each extra hour costs $49.99, right? so
y = 122 + 49.99(x-1)
To write the equation in the form y=c+d(x−1) that represents Tariq's charging system, let's break down the information given.
We can see that the cost increases with each hour of service. The first hour costs $122, the second hour costs $171.99 (which is more than the first hour), and the third hour costs $221.98 (which is more than the second hour).
Here's how we can build the equation step by step:
1. Define the variables:
- x represents the number of hours of service.
- y represents the cost for x hours of service.
2. Determine the constant rate of increase:
From the given information, we observe that the cost increases by $49.99 from the first to the second hour, and then increases by $49.99 from the second to the third hour. Therefore, the cost increases by $49.99 for each additional hour of service.
3. Define the equation:
Since the cost increases by $49.99 per hour, we can express the equation as y = c + d(x - 1), where:
- c represents the cost of the first hour of service, which is $122.
- d represents the constant rate of increase, which is $49.99 mentioned earlier.
- (x - 1) represents the number of additional hours beyond the first hour.
We can substitute the values into the equation:
y = 122 + 49.99(x - 1)
4. Simplify the equation if necessary:
To simplify, we can distribute 49.99 to get:
y = 122 + 49.99x - 49.99
Combining like terms, the final equation becomes:
y = 72.01 + 49.99x
So, the equation y = 72.01 + 49.99x represents Tariq's charging system, where x is the number of hours of service and y is the corresponding cost.