Question

Activity 6. Linear functions!
The number of words in a child's vocabulary is a function of the child's age. The formula for the
size of vocabularies of typical children between the ages of 20 months and 50 months is given
by
n=60a-900
uses correctly.
1. Complete the table below using the given formula.
A
35
30
25
50
40
20
2.
Graph the function, letting the x-axis represent the child's age a and the y-axis represent
the number of words n.
where a represents the child's age in month and n represents the number of words that the child​

Answer 1

Answer:

I think the idea of the idea

Answer 2

Given : The number of words in a child's vocabulary is a function of the child age.

The formula for the numbers of vocabulary of typical children between the ages of 20 Months and 50 months is n=60a - 900

where a represents the child's age in months and

n represent the number of words that he could uses correctly.

To Find : How many words does a typical 25-months old child know?

Complete the table below  

Solution:

n=60a - 900

a represents the child's age in months  

25-months old child

=>a = 25

Substitute a = 25  in  the equation

n = 60a - 900

n = 60(25) - 900

=>  n = 1500 - 900

=> n = 600

Hence  a typical 25-months old child know 600 words

Completed table

20 300

25 600

30 900

35 1200

40 1500

45 1800

50 2100

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