Answer:
y = -40*x + 170
Step-by-step explanation:
Data
When price is $1.50 per banana, sales reach 110 per day
When price is $2.50 per banana, sales reach 70 per day
Calling y the number of deep fried bananas on a stick per day the vendor sells and x its price in dollars per banana; the above data can be expressed as points (x1, y1) and (x2, y2), i. e., (1.5, 110) and (2.5, 70). The question asks for a linear expression to represent given points. General linear formula is:
y = m*x + b
where m is the slope and b is the y-intercept.
Slope is computed as follows
m = (y2 -y1)/(x2 -x1) = (70 - 110)/(2.5 - 1.5) =-40
y-intercept is computed replacing general formula with a known point and the slope, as follows
y1 = m*x1 + b
110 = -40*1.5 + b
110 + 60 = b
170 = b
Therefore, the linear equation is: y = -40*x + 170