Respuesta :
Answer: The least number of deliveries that Ben must make is 14.
Step-by-step explanation: Given that Ben earns $9 per hour and $6 for each delivery he makes. He wants to earn more than $155 in an 8-hour workday.
We are to find the least number of deliveries he must make to reach his goal.
Let x be the least number of deliveries that Ben must make to reach his goal.
Then, according to the given information, we have
[tex]9\times 8+6\times x\geq 155\\\\\Rightarrow 72+6x\geq 155\\\\\Rightarrow 6x\geq 155-72\\\\\Rightarrow 6x\geq 83\\\\\Rightarrow x\geq\dfrac{83}{6}\\\\\Rightarrow x\geq 13.83.[/tex]
Thus, the least number of deliveries that Ben must make is 14.
The least number of deliveries that Ben must make is 14.
It is given that Ben earns $9 per hour and $6 for each delivery he makes. He wants to earn more than $155 in an 8-hour workday.
We need to find the least number of deliveries he must make to reach his goal.
What are inequalities?
Inequality is a relation that represents a non-equal comparison between two terms or expressions.
Let x be the least number of deliveries that Ben must make to reach his goal then,
8(9) + 6x ≥ 155
72 + 6x ≥ 155
6x ≥ 155 - 72
Divide by 6 into both sides
x ≥ 155/6 - 72/6
x ≥ 83/6
x ≥ 13.83
Hence, the least number of deliveries that Ben must make is 14.
Learn more about inequality ;
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