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sp2606 [1]
3 years ago
6

Jay wants to rent a metal detector. A rental company charges a one-time fee of $15 plus $2 per hour to rent a metal detector. Ja

y only has $35 to spend.
Write the inequality to represent the situation where h is the number of hours Jay will rent a metal detector.
What is the maximum amount of time he can rent the metal detector?
Mathematics
1 answer:
user100 [1]3 years ago
4 0

Step-by-step explanation:

$15 initial fee. $2 per hour. $35 limit.

35 - 15 = 20

After the initial fee, he has $20 left.

20 ÷ 2 = 10

He can rent the metal detector for 10 hours.

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From an absolute value inequality, we have that:

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  • The absolute value measures the <u>distance of a point or a function to the origin</u>.
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|f(x)| \leq a

Which has solution:

-a \leq f(x) \leq a

In this problem:

  • Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the <u>absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04</u>, that is:

|D - 6.5| \leq 0.04

Applying the solution:

-0.04 \leq D - 6.5 \leq 0.04

-0.04 \leq D - 6.5

D - 6.5 \geq -0.04

D \geq 6.46

\leq D - 6.5 \leq 0.04

D \leq 6.54

  • The minimum diameter is 6.46 mm.
  • The maximum diameter is 6.54 mm.

A similar problem is given at brainly.com/question/24835634

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