Question

Here is some information from the practice round for several new Click Bots.

Determine the missing values. Enter them in the table.

Then describe your strategy.

Answer 1

Answer/Step-by-step explanation:

✅Azure:

Clicks = 17

Time (secs) = 2

Unit rate (clicks/sec) =
`(17)/(2) = 8.5`

✅Bronze:

Clicks = 38

Time (secs) = 4

Unit rate (clicks/sec) =
`(38)/(4) = 9.5`

✅Camson:

Clicks = 26

Time (secs) = ? = x

Unit rate (clicks/sec) = 10.4

Thus:
`(26)/(x) = 10.4`

Multiply both sides by x

`26 = 10.4*x`

Divide both sides by 10.4

`(26)/(10.4) = x`

`2.5 = x`

Time (secs) = x = 2.5

✅Desert:

Clicks = ? = x

Time (secs) = 4.2

Unit rate (clicks/sec) = 8.33

Thus:
`(x)/(4.2) = 8.33`

Multiply both sides by 4.2

`x = 8.33*4.2`

`x = 34.986`

Clicks = x ≈ 35

✅ Emerald:

Clicks = 3

Time (secs) = ? = x

Unit rate (clicks/sec) = 7.5

Thus:
`(3)/(x) = 7.5`

Multiply both sides by x

`3 = 7.5*x`

Divide both sides by 7.5

`(3)/(7.5) = x`

`0.4 = x`

Time (secs) = x = 0.4

✅Fuschia:

Clicks = ? = x

Time (secs) = 0.75

Unit rate (clicks/sec) = 8

Thus:
`(x)/(0.75) = 8`

Multiply both sides by 0.75

`x = 8*0.75`

`x = 6`

Clicks = x ≈ 6