Unit Rates
In Mr. Ellison's class there are 11 boys and 11 girls. What is the ratio of boys to the total number of students
1:2
A recipe uses 1 cup of rice for every 2 cups of water. How much water is needed for 3 cups of rice?
6 cups of water for 3 cups of rice.
What is the slope of this equation?
Y= 2/4x -3
M= 2/4
an electrician charges a flat fee of $50 just to show up at your house, plus $75 for every hour at work. what is the y-intercept?
$50
Larry bought 7.79 pounds of fruit. the class ate 0.41 pounds. how much fruit is left?
7.38
At a Halloween party the limit for each person is 12 pieces of cookies and 8 pieces of chips. What is the simplest form of this?
3:2
You can buy 4 bunches of broccoli for $9. How many can you buy for $18?
You can buy 8 bunches of broccoli for $18.
What is the definition of slope and y-intercept
Slope-A number that describes how steep a line is.It measures the rate of changes between two points on a line.
Y-intercept- The point where a line crosses the y-axis (the vertical axis). At this point,the x-coordinate is always 0.
A water tank starts with 200 gallons of water and is being drained at a constant rate of 25 gallons per hour what is the x-intercept?
8 (hours)
A student earns $11.75 per hour for gardening and worked 21 hours. how much did she earn?
there were 15 blue pens and 45 black ones that were given out to three classes how many pens are there now when simplified?
1:3
On a map, 1 inch represents 5 miles. If two cities are 3 inches apart on the map, what is the real distance?
The real distance is 15 miles.
A library charges a late fee for every day a book is overdue. If the total fee for a book that is 4 days late is $2.40, what is the slope (rate of change) of the late fee?
$0.60
A water tank already contains 20 gallons of water. A hose is turned on, and it begins filling the tank at a rate of 5 gallons per minute. What is the y-intercept of the line representing the total water in the tank?
20
jack biked 1.2 miles, then he ran 0.75 miles, how many miles did jack travel?
1.95
The factory made 8 glass vases per 3 minutes and the factory a few block away made 12 vases per three minutes what is the ratio for this equation?
2:3
In a class of 30 students, the ratio of Math lovers to Science lovers is 2:3. How many students like Math?
x = 6
Find the slope (x=0 is not shown)
X Y
2 6
3 10
5 18
7 26
M=4
A gym charges a one-time registration fee of $50, plus a monthly fee of $30. If you graph the total cost (y) over the number of months (x), what is the y-intercept, and what does it represent?
50
Sarah has $50.00. She buys a shirt for 19.95 and a hat for 12.50, after she purchases these items, how much money does she have left?
17.55
If a car went 180 miles for 3 hours how many miles were there per hour?
60 miles per hour
A baking class requires a recipe for 3 cups of flour for 36 cookies. How many cups of flour are needed to make 50 cookies?
4.17 cups
A bathtub drains at a constant rate, if the water level drops 15 inches every 3 minutes, what is the slope of the line representing the water level over time?
-5 (inches per minute)
A painter uses 3 cans of paint to cover 450 square feet of wall space. If the relationship is linear, what is the slope of the line representing the square feet covered per can of paint?
150
A phone company charges $11.25 monthly fee, $0.03 per in-state minute (470 minutes), and $0.09 per out-of-state minute (91 minutes). what is the total charge?
$33.54