Solve. Assume the exercise describes a linear relationship.
-The total sales made by a salesperson was $\$ 25,000$ after 3 months and $\$ 68,000$ after 23 months. Find an equation relating time and sales. Use the equation to predict the total sales after 46 months.
A) $\$ 117,450$
B) $\$ 117,550$
C) $\$ 117,492$
D) $\$ 117,420$

Question

Quizplus · Accepted Answer

The slope of the line is $\frac{68000-25000}{23-3}=2000$. The equation of the line is $y=2000x+b$, where $b$ is the y-intercept. To find $b$, we substitute $x=3$ and $y=25000$ into the equation: $25000=2000(3)+b$, so $b=5000$. Therefore, the equation of the line is $y=2000x+5000$. To predict the total sales after 46 months, we substitute $x=46$ into the equation: $y=2000(46)+5000=117450$.

Solve Assume the Exercise Describes a Linear Relationship $25,000\$ 25,000$25,000 After 3 Months And

Solve Assume the Exercise Describes a Linear Relationship $\$ 25,000$ After 3 Months And