Solve the problem. Write all linear equations in slope-intercept form.
-Suppose that a sales person observes that if an item is priced at $\$ 3$ per item then 7 items are sold. If 5 items are sold for $\$ 5$ per item then find a linear equation to model the number $y$ of items sold for $x$ dollars per item. Find the slope-intercept form of the equation of the line.
A) $y = - x + 4$
B) $y = - x + 10$
C) $y = x + 10$
D) $y = x + 4$

Question

Quizplus · Accepted Answer

The slope $m$ of the line can be found using the two given points $(3,7)$ and $(5,5)$ as $m = \frac{5-7}{5-3} = \frac{-2}{2} = -1$. The slope-intercept form is $y = mx + b$. Using the point $(3,7)$, we can solve for $b$: $7 = -1(3) + b$, leading to $b = 10$. Thus, the equation is $y = -x + 10$.

Solve the Problem $3\$ 3$3 Per Item Then 7 Items Are Sold

Solve the Problem $\$ 3$ Per Item Then 7 Items Are Sold