Q.6

the population of a town increased from 3250 people in the year 2006 to 5300 in 2011. Find the absolute and relative (percent) increase.

Absolute increase :

Relative increase :

(round to the nearest tenth of a percent)

Absolute increase : 2050

Relative increase : 63.08%.

Step-by-step explanation:

Absolute

The absolute increase is the subtraction of the population in 2011 by the population is 2006.

So 5300 - 3250 = 2050

Relative

The relative increase is the absolute increase divided by the initial population, that is, the population in 2006. Then you multiply by 100 to find the value as a percent

So 2050/3250 = 0.6308*100 = 63.08%.

step-by-step explanation:

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c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)