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 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs 900. Let B represent the number of additional blocks that Joe reserves. What is the least amount of additional money Joe can spend to get the rooms they need?

$3825

Step-by-step explanation:

From the given information:

Suppose, the number of rooms required is x; Then, we can illustrate the inequality to be:

x ≥ 50

The information proceeds by stating that Joe reserved and paid for 16 rooms earlier.

Thus, the number of the additional rooms needed for reservation = 50 - 16 = 34 rooms.

So, we knew now that the least number of rooms to be reserved is 34.

Given that; B represents the number of additional blocks that Joe reserves.

Then the inequality can be written as:

B ≥ 34

However; each block has 8 rooms;

i.e. the minimum number of blocks needed for reservation = 34/8

= 4.25

Finally, since each block cost rates fro $900

Then, the  least amount of additional money Joe can spend to get the rooms they need is  = $900(4.25)

= $3825

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.