The number of aluminum cans used each year varies directly as the number of people using the cans. if 500 people use 120000 cans in one year, how many cans are used each year in a city which has a population of 130000?

Answer

31,200,000

Explanation

Firstly, calculate the constant of proportionality.

Al ∝ N

Al = kN     Where Al = number of aluminium cans, k = constant and N = number of people using the can.

Al = kN

k = Al/N

  = 120000/500

  = 240

Equation becomes;

Al = 240N

For 130000 cans;

Al = 240 × 130000

   = 31,200,000

it would not be increasing by nothing that i can see probably by 25 percent that is all i can sat\y for now if i have any thing else to say i will edit this.

step-by-step explanation:

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft