A restaurant manager recorded the number of orders for each of four drinks available. The results are shown in the table.

Mathematics

1 answer:

RUDIKE [14]3 years ago

3 0

<h3>Answer: about 14</h3>

Work Shown:

Add up the values in the table:

170+135+150+145 = 600

There are 600 orders in total. Of those 600, we have 135+145 = 280 that are for lemonade or for orange juice. This means roughly 280/600 = 0.4667 of all the drinks are either lemonade or orange juice.

Assuming this ratio keeps up, we can multiply 0.4667 with 30 to get

30*0.4667 = 14.001 which rounds to 14

This represents the estimated number of drinks in the next 30 orders that are either lemonade or orange juice.

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Find a number x such that g(x) = -4

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C: x = 7

Step-by-step explanation:

The easiest way to do this is to simply try all of the x-vales given as options.

Option 1: x = -1

Since $-1 \leq 0$ , we'll use the first equation.

$g(x)=\mid x \mid - 2\\g(-1)=\mid -1 \mid - 2 = 1 - 2 = -1$

As we can see, g(-1) is not -4.

Option 2: x = 3

Since $0 < 3 < 4$ , we'll use the 2nd equation.

$g(x) = x-3\\g(3) = 3-3 = 0$

Not -4.

Option 3: x = 7

Since $4 \leq 7$ , we'll use the 3rd equation.

$g(x) = 3-x\\g(7) = 3-7 = -4$

Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:

Option 4: x = 4

Since $4 \leq 4$ (less than <em>or equal to</em>), we'll use the 3rd equation.