Question

Alfred is practicing typing. The first time he tested himself, he could type 30 words per minute. After practicing for a week, he could type 33 words per minute. After two weeks he could type 36 words per minute. Based on this pattern, predict how fast Alfred will be able to type after four weeks of practice.

Answer 1

It would be 42 ,because it is increasing by 3 on the third week=39 fourth week=42.

Answer 2

42 words per minute

Explanation:

Weeks(x) Words per minute(y)

0 30

1 33

2 36

To find the function we will use two point slope form.

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)` ---A

`(x_1,y_1)=(0,30)`

`(x_2,y_2)=(1,33)`

Substitute the value in A

`y-30=(33-30)/(1-0)(x-0)`

`y-30=3x`

`y=3x+30`

Thus the equation represents the situation :
`y=3x+30`

Where y is the words per minute

x is the number of weeks

Now we are supposed to find how fast Alfred will be able to type after four weeks of practice.

Substitute x = 4

`y=3(4)+30`

`y=42`

Hence Alfred will be able to type 42 words per minute after four weeks of practice.