Verified Answer :
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
\(9\times 8+6\times x\geq 155\\\\\Rightarrow 72+6x\geq 155\\\\\Rightarrow 6x\geq 155-72\\\\\Rightarrow 6x\geq 83\\\\\Rightarrow x\geq\dfrac{83}{6}\\\\\Rightarrow x\geq 13.83.\)
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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