The following situation can be modeled by linear functions. In the following case, draw a graph of the function and use the graph to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. A group of climbers begin climbing at an elevation of $6500$ feet and ascend at a steady rate of $600$ vertical feet per hour. What is their elevation after $3.5$ hours?

What situation could be modeled by using a linear function?

For the following functions, find the slope of the graph and the intercept. Then sketch the graph for values of $x$ between $-10$ and $10$.

$$y=2 x+6$$

For the following functions, find the slope of the graph and the intercept. Then sketch the graph for values of $x$ between $-10$ and $10$.

$$y=4 x+1$$

For the following functions, find the slope of the graph and the intercept. Then sketch the graph for values of $x$ between $-10$ and $10$.

$$y=2 x+4$$

For the following functions, find the slope of the graph and the intercept. Then sketch the graph for values of $x$ between $-10$ and $10$.

$$y=-3 x+3$$

For the following functions, find the slope of the graph and the intercept. Then sketch the graph for values of $x$ between $-10$ and $10$.

$$y=3 x-6$$

For the following functions, find the slope of the graph and the intercept. Then sketch the graph for values of $x$ between $-10$ and $10$.

$$y=-5 x-5$$

For the following functions, find the slope of the graph and the intercept. Then sketch the graph for values of $x$ between $-10$ and $10$.

$$y=-x+4$$

For the following functions, find the slope of the graph and the intercept. Then sketch the graph for values of $x$ between $-10$ and $10$.

$$y=-2 x+5$$

Create the required linear function, and use it to answer the question. A $\$ 1500$ washing machine in a laundromat is depreciated for tax purposes at a rate of $\$ 125$ per year. Find out a function for the depreciated value of the washing machine as it varies with time. When does the depreciated value reach $\$ 0?$

Solve, using appropriate tools: Three rock climbers started a climb with each person carrying 7.8 kilograms of climbing equipment. A fourth climber with no equipment joined the group. The group divided the total weight of climbing equipment equally among the four climbers. How much did each climber carry?

Write a short statement that expresses a possible relationship between the variables.

Example: (age, shoe size)

Solution: As a child ages, shoe size increases. Once the child is fullgrown, shoe size remains constant.

(latitude, ocean temperature on a given day)

For the following functions find out the slope of the graph and the intercept. Then sketch the graph for values of $x$ between $-10$ and 10 .

$$y=-x+4$$