Solve.
-A vendor has learned that, by pricing pretzels at $\$ 1.75$, sales will reach 56 pretzels per day. Raising the price to $\$ 2.25$ will cause the sales to fall to 34 pretzels per day. Let y be the number of pretzels the vendor sells at $x$ dollars each. Write a linear equation that models the number of pretzels sold per day when the price is $\mathrm { x }$ dollars each.
A) $y = - 44 x + 133$
B) $y = - \frac { 1 } { 44 } x + \frac { 9849 } { 176 }$
C) $y = 44 x - 21$
D) $y = - 44 x - 133$

Question

Quizplus · Accepted Answer

The linear equation is found by determining the slope ($m$) from two points ($1.75, 56$ and $2.25, 34$) and then using one point to solve for the y-intercept ($b$). The slope $m = \frac{34 - 56}{2.25 - 1.75} = -22 / 0.5 = -44$. Using the point $(1.75, 56)$, $56 = -44(1.75) + b$, solving for $b$ gives $b = 133$. Thus, the equation is $y = -44x + 133$.

Solve -A Vendor Has Learned That, by Pricing Pretzels At $1.75\$ 1.75$1.75

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-A Vendor Has Learned That, by Pricing Pretzels At $\$ 1.75$