Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)
m = =
, hence
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (1, 5 ), then
5 = + c ⇒ c = 5 -
=
y = x +
← in slope-intercept form
We have been given that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack.
Further, we know that retailer sold all the shirts he purchased and profited $84 on the sale.
Let us first find LCM of 24 and 5. The LCM is 120.
Now, let us assume that the retailer bought 120x shirts. Therefore total profit will be:
We can set this equal to the given profit to figure out the value of x first.
Therefore, the retailer sold 120(2)=240 shirts, that is, 48 packs.