Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (in tons/month) in the gas: Time (months) 0 1 2 3 4 5 6 Rate 5 7 9 14 22 31 40 A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month. overestimate

overestimate = 7

underestimate = 5

Step-by-step explanation:

Table

Time (months)    0    1    2     3      4     5     6

Rate                   5   7     9    14    22    31    40

A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.

Overestimate

For this case, we review the data in the table. The value for first month of total quantity of pollutants that escape is 7. Additionally, we can notice that the rate is increasing.

Just a month and that month has a value of  7

= 1* 7 (The largest value) = 7

Underestimate

This would be equivalent to the total until the previous meassure

= 1*5 = 5

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have