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# Of the following, which is closest to the ratio of the total number of insects in all three colonies in week 8 to the total number of insects at the time of initial treatment?

Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A, B, and C were treated with Pesticides A,B , and C, respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0,2,4,6, , and 8 weeks after the initial treatment.

- 2 to 5
- 1 to 4
- 3 to5
- 1 to 2

Hint:

**Hint:**

- Here we will make approximation using bar graph and then find the answer.

## The correct answer is: 2 to 5

### Explanation

- We have given a bar graph that represent the insect counts for each of the three colonies 0,2,4,6,8,
- weeks after the initial treatment
- We have to find which is closest to the ratio of the total number of insects in all three colonies in week 8 to the total number of insects at the time of initial treatment

Step 1 of 1:

Number of insect in Colony A for week 8 is 18

Number of insect in Colony B for week 8 is10

Number of insect in Colony C for week 8is 52

Therefore, the total number of insect in colonies A,B,C for week is

18+ 10+ 52 =80

Number of insect initially in colonies A,B and C are 80,62,58 respectively.

The total of all three colonies are 80+62+58+200

Thus, The ratio of the total number of insect in all three colonies for week to the ration of total number of insect initially in all three colonies will be

80 to 200

or

2 to 5

Hence, Option A is correct.

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