Homework Week of November 16, 2015
1. Write the explicit and recursive equation
(y = mx + b and NEXT=NOW) for the linear relationship.
Due: Friday, November 20, 2015
X
y
1
-2
2
-5
3
-8
4
-11
2. What is the slope-intercept form of the linear equation with a graph that passes through (-4, 2) and is parallel to
the graph of x + 4y= 4?
3. Jessica wants to get a burger. The burger costs $3 plus $0.75 per topping. There are only 8 toppings. Complete
the table.
x
0
2
4
6
y
a. Graph the table.
B. What is the equation of the function?
C. What is the domain?
d. What is the range?
E. What does the slope mean?
F. What does the y-intercept mean?
1
4. If jk + 7m = 8n, solve for m.
5. If z = 4(x + z), solve for x.
6. If r = dw2, solve for d.
7. Solve the equation: -5(-3r – 4) = 4(3r + 7) + r
8. Nick was watching a frog. He jumped off the railing of the deck to the ground. Nick made a graph representing
the frog’s height from the ground in terms of time.
a. Solve h(3) and explain the meaning of the solution.
b. When h(t) = 6.25, explain the meaning of the solution.
9. There is a new road being built nearby. It will be perpendicular to the road in front of the mall. On the scale drawing
of the area, the equation that represents the road in front of the mall is 2x + 3y = 6. Write an equation that could
represent the new road.
10. The nurse charges $60 per visit plus $15 an hour.
a. Write an equation to model the situation.
b. If you pay $120, for how many hours is the nurse at your house?
c. What is the cost for 6 hours of labor?
11. Alyssa compared the y-intercept of the graph of the function f(x)= 5x - 9 to the y-intercept of the graph of a
linear function that includes the points on the right:
x
1
2
3
4
What is the difference when the y-intercept of f(x) is subtracted from
the y-intercept of g(x)?
g(x) -2
-3 -4 -5
12. The monthly cost to use Skype can be modeled by the function f(x) = 1.50x + 30, where x is the number of
minutes used. What does the y-intercept of the function represent?
13. Graph the equations: y = - x – 2 and x = -3
14. Erica wants buy pepperoni pizzas and cheese pizzas for the meeting. Pepperoni pizzas, x, cost $7 and cheese
pizzas, y, cost $5. She spent $70. This is represented by 7x + 5y = 70.
a. Find the x-intercept and y-intercept.
b. Graph the function using the x-intercept and y-intercept.
c. Interpret the x-intercept and y-intercept.
15. Jessica collected the following data on the number of new teachers joining the staff in certain years
 42 teachers joined in 2010
 24 teachers joined in 2012
What is the average rate of change for new teachers between 2010 and 2012?