Question

Alan and Bree are taking a keyboarding test. The tables show the number of words they type over time, and the numbers of mistakes they make

Mistakes
Alan's Typed
Words
5
10
Time
(seconds)
6
12
2
4
6
18
15
20
8
Mistakes
Bree's Typed
Words
9
Time
(seconds)
8
3
6
18"
16
9
27
36
24
32
12
Who makes mistakes at a faster rate? Explain using ratios.
Select the answers from the drop-down lists to correctly complete the sentences.

Answer 1

Bree does

Explanation:

Answer 2

Comparing the typing rates of Alan and Bree based on the simplified ratios, Alan maintains a consistent rate of 5/6 or 1/1 words per second, while Bree generally types at a faster pace, with ratios ranging from 9/8 to 8/9 words per second. Consequently, Bree makes mistakes at a faster rate than Alan.

For Alan:

Ratio for the first data point: 5/6

Ratio for the second data point: 5/6

Ratio for the third data point: 5/6

Ratio for the fourth data point: 1/1

For Bree:

Ratio for the first data point: 9/8

Ratio for the second data point: 1/1

Ratio for the third data point: 1/1

Ratio for the fourth data point: 8/9

Comparing the simplified ratios:

Alan's typing rate is consistently 5/6 or 1/1 words per second.

Bree's typing rate varies but is generally faster than Alan's. Her ratios range from 9/8 to 8/9 words per second.

Therefore, Bree makes mistakes at a faster rate than Alan.