Writing and Graphing Equations in Two Variables

The graph below shows the amount of money left in the school's desk fund, f, after d desks have been purchased. For each new desk that is purchased, by how much does the amount of money left in the school's desk fund decrease?

$110

The graph shows the relationship between the number of minutes Maria spent jogging on a treadmill and the distance she jogged. What was her speed?

0.1 mile per minute

Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of the sealed cans in ounces?

B

Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes?

C

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination. Which statement is true?

For each hour that Michelle drove, she traveled an additional 50 miles.

Which description is represented by a discrete graph?

Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?

Peaches are being sold for $2 per pound. The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?

The values of both x and y will be real numbers greater than or equal to 0.

Which scenario is most likely the one shown on the graph? the total amount of money in the cash register, y, containing $50 in change and small bills and x $100 bills the total number of puzzle pieces, y, in a brand new 50-piece puzzle, and x brand-new 100-piece puzzles the total weight of the barbell, y, where the bar weighs 50 pounds and x 100-pound weights are added to it

the total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?

y=4+x

Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?

y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.