Solve.
-A vendor has learned that, by pricing hot dogs at $\$ 1.25$, sales will reach 115 hot dogs per day. Raising the price to $\$ 2.25$ will cause the sales to fall to 71 hot dogs per day. Let y be the number of hot dogs the vendor sells at $x$ dollars each. Write a linear equation that models the number of hot dogs sold per day when the price is $x$ dollars each.
A) $y = - 44 x + 170$
B) $y = - \frac { 1 } { 44 } x + \frac { 20235 } { 176 }$
C) $\mathrm { y } = 44 \mathrm { x } + 60$
D) $\mathrm { y } = - 44 \mathrm { x } - 170$

Question

Quizplus · Accepted Answer

The problem gives two points on the line: (1.25, 115) and (2.25, 71). The slope $m$ is $\frac{71 - 115}{2.25 - 1.25} = \frac{-44}{1} = -44$. Using point-slope form $y - y_1 = m(x - x_1)$ with the first point, $y - 115 = -44(x - 1.25)$, simplifying gives $y = -44x + 170$.

Solve -A Vendor Has Learned That, by Pricing Hot Dogs $1.25\$ 1.25$1.25

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-A Vendor Has Learned That, by Pricing Hot Dogs $\$ 1.25$