Writing and Graphing Equations in Two Variables

Question 1

Which would most likely be graphed using a continuous graph? Check all that apply.

Revolt · Accepted Answer

total cost, c, of buying g pounds of broccoli; speed of a car, s, as it accelerates over time, t; total distance, d, that has been driven over time, t; decrease in outside temperature, F, one evening over time, t

Question 2

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3.5b. Which table of values matches the equation and includes only viable solutions?

Revolt · Accepted Answer

Option C

Question 3

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy? (, )

Revolt · Accepted Answer

Part 1: 3.2; Part 2: 12

Question 4

A 28,000-gallon swimming pool is being drained using a pump that empties 700 gallons per hour. Which equation models this situation if g is the number of gallons remaining in the pool and t is the amount of time in hours the pool has been draining?

Revolt · Accepted Answer

g = 28,000 – 700t

Question 5

Each Friday, the school prints 400 copies of the school newsletter. The equation c = 400w models the relationship between the number of weeks and the total number of copies of the newsletters printed. What is true of the graph of this scenario? A viable point on the graph is . The values of w must be .

Revolt · Accepted Answer

Selection 1: (8, 3,200); Selection 2: any whole number

Question 6

Question 11

Revolt · Accepted Answer

any whole number

Question 7

Jeff hiked for 2 hours and traveled 5 miles. If he continues at the same pace, which equation will show the relationship between the time, t, in hours he hikes to distance, d, in miles? Will the graph be continuous or discrete?

Revolt · Accepted Answer

d = 2.5t, continuous

Question 8

Juan spent 10 minutes on his history homework and 3 minutes per question on his math homework. Which graph shows the total homework time, t, related to the number of math questions, q?

Revolt · Accepted Answer

[Image: Discrete graph on a coordinate plane shows number ...]

Question 9

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice. The equation of the scenario is . The values of p must be .

Revolt · Accepted Answer

p = 55 – 0.5w; Selection 1: p = 55 – 0.5w; Selection 2: any real number 45 to 55

Question 10

Question 20

Revolt · Accepted Answer

any real number 45 to 55

Writing and Graphing Equations in Two Variables Answers

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