While on vacation, you rent a scooter. You pay $7.50 for each hour you use it. It costs $3 to rent a helmet. Write an algebraic expression that describes the total cost in terms of hours, x, that you rent the scooter. but on a graph
Let's break down the costs involved in renting the scooter:
1. Hourly cost: $7.50 per hour.
2. Helmet rental: $3 per rental.
Since we are interested in finding the total cost in terms of the number of hours you rent the scooter, we can start by calculating the cost for the scooter usage and helmet rental separately.
Cost for scooter usage (per hour): $7.50 * x
The rental cost per hour ($7.50) is multiplied by the number of hours you rent the scooter (x).
Cost for helmet rental: $3
The helmet rental cost ($3) remains the same regardless of the number of hours you rent the scooter.
To get the total cost, we add the costs for scooter usage and helmet rental together:
Total cost = Cost for scooter usage + Cost for helmet rental
Total cost = $7.50x + $3
So, the algebraic expression that describes the total cost in terms of the hours you rent the scooter (x) is:
Total cost = $7.50x + $3
To graph this expression, you can plot the total cost ($ y-axis) against the number of hours you rent the scooter (x-axis), assuming a certain range or interval for x.
The algebraic expression that describes the total cost, C, in terms of hours, x, that you rent the scooter can be written as:
C = 7.50x + 3
To graph this expression, we can plot the hours (x) on the x-axis and the total cost (C) on the y-axis. The y-intercept of the graph would be at (0, 3), representing the initial cost of renting a helmet. The slope of the line would be 7.50, indicating that for each hour of scooter usage, the cost increases by $7.50.
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To write an algebraic expression that describes the total cost in terms of hours, x, that you rent the scooter, we need to consider two components: the cost per hour of using the scooter and the one-time cost of renting a helmet.
The cost per hour of using the scooter is $7.50, so we can represent this as 7.50x.
The one-time cost of renting a helmet is $3, which will be the same regardless of how many hours you rent the scooter.
To calculate the total cost, we add the cost per hour of using the scooter (7.50x) to the one-time cost of renting a helmet ($3). Therefore, the algebraic expression that describes the total cost in terms of hours (x) is:
Total Cost = 7.50x + 3
To represent this on a graph, you can plot the number of hours on the x-axis and the total cost on the y-axis. The slope of the line will be 7.50, and the y-intercept will be 3.