Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in
slope-intercept form.
-A vendor has learned that, by pricing carmel apples at $1.00, sales will reach 149 carmel apples per day. Raising the price to $2.00 will cause the sales to fall to 105 carmel apples per day. Let y be the number of Carmel apples the vendor sells at x dollars each. Write a linear equation that models the number of Carmel apples sold per day when the price is x dollars each.
A)y = -44x + 193
B)y = 44x + 105
C)y = -44x - 193
D) $y = - \frac { 1 } { 44 } x + \frac { 6555 } { 44 }$

Question

Quizplus · Accepted Answer

The slope (m) of the line can be calculated using the two given points (1, 149) and (2, 105) as $m = \frac{105 - 149}{2 - 1} = \frac{-44}{1} = -44$. To find the y-intercept (b), use one of the points: $149 = -44(1) + b$, solving for b gives $b = 149 + 44 = 193$. Thus, the equation is $y = -44x + 193$.

Solve Assume the Exercise Describes a Linear Relationship y=−144x+655544y = - \frac { 1 } { 44 } x + \frac { 6555 } { 44 }y=−441​x+446555​

Solve Assume the Exercise Describes a Linear Relationship $y = - \frac { 1 } { 44 } x + \frac { 6555 } { 44 }$