Need help in working this problem - the cost of renting an edger is $16.50 for the first hour and $10.95 for each additional hour. How long can a person have the edger if the cost must be less than $55.00? (This is a question under the inequalities section)
16.50 + 10.95x < 55
Solve for x.
We tried that but was told that it was wrong.
10.95x < 38.5
x < 38.5 / 10.95
x < 3.5 = 3 hours
That's the only answer that makes sense. At about $11 an hour, the edger can only be rented for 3 hours.
What is the domain of y=(x-2x+5)
To solve this problem, we can set up an inequality to represent the cost of renting the edger. Let's denote the number of additional hours as 'x'.
The cost of renting the edger for the first hour is $16.50. For each additional hour, it costs $10.95. Therefore, the cost of renting the edger for 'x' additional hours can be represented as 10.95x.
To find the total cost of renting the edger, we add the cost of the first hour to the cost of the additional hours:
Total Cost = 16.50 + 10.95x
Since we want the cost to be less than $55.00, we can set up the following inequality:
16.50 + 10.95x < 55.00
Now, we can solve this inequality for 'x' to find the maximum number of additional hours:
16.50 + 10.95x < 55.00
Subtract 16.50 from both sides:
10.95x < 38.50
Divide both sides by 10.95:
x < 3.51
Since 'x' represents the number of additional hours, it must be a whole number. Therefore, the maximum number of additional hours is 3.
To find the total time a person can have the edger, we add the additional hours to the first hour:
Total time = 1 hour (first hour) + 3 hours (additional hours)
Total time = 4 hours
Therefore, a person can have the edger for a maximum of 4 hours if the cost must be less than $55.00.