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Andrej [43]
3 years ago
13

Robert has $50 to spend on his utility bills each month. The basic monthly charge is 23.77 electricity costs 0.1117 for each kil

owatt hour used, x. The inequality 0.1116x + 23.77 < 50 represents Roberts monthly utility budget. To the nearest kilowatt hour what is the maximum number of kilowatt hours used without going over his monthly budget?
Mathematics
1 answer:
Lilit [14]3 years ago
7 0

Answer:

<em>The maximum number of kilowatt-hours is 235</em>

Step-by-step explanation:

<u>Inequalities</u>

Robert's monthly utility budget is represented by the inequality:

0.1116x + 23.77 < 50

Where x is the number of kilowatts of electricity used.

We are required to find the maximum number of kilowatts-hours used without going over the monthly budget. Solve the above inequality:

0.1116x + 23.77 < 50

Subtracting 23.77:

0.1116x < 50 - 23.77

0.1116x < 26.23

Dividing by 0.1116:

x < 26.23/0.1116

x < 235

The maximum number of kilowatt-hours is 235

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