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Sergeu [11.5K]
3 years ago
13

Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their

shadows. Ariadne’s shadow is 15 feet long and Dixon’s shadow is 18 feet long. If Ariadne is 5 feet tall , how tall is Dixon ?
Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Hey there! I'm happy to help you!

To solve this, we can set up a proportion below! I will put the data in table, fraction, and ratio form so you can see different ways to visualize it.

                       HEIGHT         LENGTH OF SHADOW

DIXON               ?                              18

ARIADNE           5                              15

 

                     or

\frac{height}{length} =\frac{5}{15} =\frac{h}{18}

                     or

5:15= h:18

As we can see, we see that Ariadne's length of shadow is three times as large as her height. Therefore, that means that Dixon's height will be 1/3 of the length of his shadow!

18/3= 6

We can also use the cross multiplying method with our proportion and then solve for h!

h=5*18/15

h=90/15

h=6

Therefore, Dixon is six feet tall.

I hope that this helps! Have a great day!

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Select all of the following tables which represent y as a function of x.x 5 10 11y 3 9 15x 5 10 11y 3 9 9x 5 10 10y 3 9 15
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Answer:

Table 1 and 2 represent a function

Step-by-step explanation:

Given

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

<em>Table 2</em>

x 5 10 11

y 3 9 9

<em>Table 3</em>

x 5 10 10

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Required

Determine which of the tables represent that y is a function of x

For a relation to be a function; the x values must be unique.

In other words, each x value must not be repeated;

Having said that;

Analyzing Table 1

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

Note that the x rows are unique as no value were repeated;

Hence, Table 1 is a function

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