Writing and Graphing Equations in Two Variables Answers

Which would most likely be graphed using a continuous graph? Check all that apply.total cost, c, of buying b cans of beanstotal cost, c, of buying g pounds of broccolispeed of a car, s, as it accelerates over time, tnumber of stamps, s, needed to mail p postcards total distance, d, that has been driven over time, tdecrease in outside temperature, F, one evening over time, t

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?

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Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her average change in elevation over time is e = 300 – 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e? a = b = c =

b = [___]

c = [___]

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 .

any even numberany real numberany real number 0 or greater✔ any whole number

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.

any real number 0 to 55✔ any real number 45 to 55any whole number 0 to 55any whole number 45 to 55

Use the graph to complete the statements. The car gets ⇒ 30 miles to the gallon. After the car has traveled miles, gallons of gas have been consumed.

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?

Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her average change in elevation over time is e = 300 – 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e?

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?

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?

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?

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?

The graph shows the relationship between distance driven and gallons of gas used.

Which would most likely be graphed using a continuous graph? Check all that apply.total cost, c, of buying b cans of beanstotal cost, c, of buying g pounds of broccolispeed of a car, s, as it accelerates over time, tnumber of stamps, s, needed to mail p postcards total distance, d, that has been driven over time, tdecrease in outside temperature, F, one evening over time, t