05/14 5. Linear Functions and Models Online Quiz Questions

For the linear function $f(x)=-2x+6$, which statement correctly describes its direction and y-intercept?

A horizontal line has slope $0$.

Find the slope of the line through the points $(2,2)$ and $(8,11)$.

Select all statements that are true about a vertical line.

For a piecewise function whose first rule applies when $x<2$, the endpoint of that piece at $x=2$ is shown with an open circle.

Let $g(x)=\begin{cases}x+4,&x<3,\\2-x,&x\ge 3.\end{cases}$ Find $g(4)$.

Which equation represents the line with slope $4$ that passes through $(2,-1)$?

A delivery service models its charge by $C(m)=1.75m+6$, where $m$ is the number of miles. Select all correct interpretations.

Describe the graph near the boundary for $h(x)=\begin{cases}2x+1,&x\le1,\\x+3,&x>1.\end{cases}$ State whether each piece is a ray or a segment, give the endpoint coordinates, identify whether each circle is open or closed, and state whether the graph is continuous or has a jump at $x=1$.

Find the equation in slope-intercept form of the line passing through $(1,6)$ and $(7,18)$.

True or false: A horizontal line has an undefined slope.

What is the slope of the line passing through $(2,-1)$ and $(8,14)$?

What is the x-intercept of the line $y=6x-15$?

For the piecewise function $f(x)=\begin{cases}3x+4,&x<1,\\2-x,&x\ge 1,\end{cases}$ what is $f(-2)$?

A gym models the cost of membership and classes with $C(n)=7.50n+18$, where $n$ is the number of classes. What does the slope represent in this context?

A line has slope $2$ and passes through $(3,-4)$. Which equation represents the line in slope-intercept form?

A delivery service charges a fixed fee of $\$6$ plus $\$3.50$ per mile. What is the total cost for an $8$-mile delivery? Enter the value in dollars.

A tank contains $150$ liters and loses $6$ liters per minute according to $V(t)=150-6t$. After how many minutes will the tank be empty? Enter the value in minutes.