Ballpoint pens cost $1.50 a dozen for the first 200 dozen a store buys from a wholesaler and $1.25 a dozen for those bought in addition to the first 200 dozen. if the store buys 250 dozen pens from the wholesaler, then what is the average cost of ballpoint pens per dozen.

Solution:

We are given that

Ballpoint pens cost $1.50 a dozen for the first 200 dozen a store buys from a wholesaler.

$1.25 a dozen for those bought in addition to the first 200 dozen.

we have been asked to find

If the store buys 250 dozen pens from the wholesaler, then what is the average cost of ballpoint pens per dozen.

Cost of first 200 dozens of pens

Cost of 50 dozens of pens

Total cost of 250 dozens of pens

Average cost per dozen

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

step-by-step explanation:

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