Answer:
y = 0.03x + 70
Slope here represents the variation in the charges with the change in the number of flyers
Positive slope means that the cost is increasing with increase in number of flyers
Step-by-step explanation:
Given:
for 100 copies advertiser is charged = $73
For 400 copies advertiser is charged = $82
Now,
here the charge is a function of number of flyers
we have the general line equation for a linear relationship as:
y = mx + c
here m is the slope
c is the constant
for the first case we have
y = $73
x = 100
thus,
73 = 100m + c ...........(1)
for the second case, we have
y = $82
x = 400
thus,
82 = 400m + c ...........(2)
subtracting (1) from (2)
82 = 400m + c
- ( 73 = 100m + c )
==================
9 = 300m + 0
or
m = 0.03
substituting the value of slope in equation (1)
73 = 100 × 0.03 + c
73 = 3 + c
or
c = 70
Hence,
the equation is y = 0.03x + 70
here y is amount charged and x are the number of flyers.
Slope here represents the variation in the charges with the change in the number of flyers
Positive slope means that the cost is increasing with increase in number of flyers
