Question

joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 5050 total rooms. Joe had already reserved and paid for 16 1616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 88 rooms and costs $ 900 $900dollar sign, 900. Let B BB represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 16 + 8 B ≤ 50 16+8B≤5016, plus, 8, B, is less than or equal to, 50 (Choice B) B 16 + 8 B ≥ 50 16+8B≥5016, plus, 8, B, is greater than or equal to, 50 (Choice C) C 16 + B ≤ 50 16+B≤5016, plus, B, is less than or equal to, 50 (Choice D) D 16 + B ≥ 50 16+B≥5016, plus, B, is greater than or equal to, 50 2) What is the least amount of additional money Joe can spend to get the rooms they need? dollars

Answer 1

The inequality expression is :

16 + 8B ≥ 50

Least amount that could be spent = $4500

The total number of rooms required should be atleast 50

Already booked = 16

Number of rooms per block = 8

If the number of blocks = B

Summing together :

Then we have :

16 + 8B ≥ 50

The leat additional amount to be spent:

(50 - 16) / 8

34/8 = 4.25

Least number of blocks, B = 5

Least amount = $900 * 5 = $4500

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Answer 2

Inequalities are used to represent unequal expressions.

• The inequality that represents the scenario is: $8B + 16 \ge 50$.
• The least additional amount is $4500

Given that:

$Room = 50$ at least

$Reserved = 16$

$Rate = 8$ per block

A. The inequality

Let the number of blocks be B.

"At least" means, greater than or equal to. So, we have:

$Rate \times B + Reserved \ge 50$

Substitute known values

$8 \times B + 16 \ge 50$

$8B + 16 \ge 50$

So, the inequality that describes the scenario is:

$(b).\ 8B + 16 \ge 50$

B. The least amount

Solve for B in: $8B + 16 \ge 50$

$8B \ge 50 - 16$

$8B \ge 34$

Divide both sides by 8

$B \ge 4.25$

The number of blocks cannot be a decimal. So, we round 4.25 to the smallest integer greater than 4.25

This gives:

$B \ge 5$

The least number of block is 5.

Given that:

$Cost = \ 900$ per block

The least amount is calculated as follows:

$Least = B \times Cost$

So, we have:

$Least = 5 \times \ 900$

$Least = \ 4500$

Hence, the least additional money is: $4500

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https://brainly.com/question/17675534