Linear Relationships (Medium)

Determine the coordinates of the point where the line represented by the equation y = 4x + 2 intersects the y-axis.

• (0, 2)

• (4, 0)

• (2, 0)

• (0, 4)

A straight road is modeled by a line that passes through the points (2, 5) and (–8, 24) on a coordinate plane.

What is the constant rate at which the elevation (y) changes with each unit of horizontal distance (x)?

A cell phone plan costs $25/month plus $0.10 for each text message sent. If a user sends a variable number of texts, t, and also pays an additional $5 monthly for data, write the equation for the total cost C for t texts.

• C = 0.10t + 30

• C = 25t + 0.10 + 5

• C = 30 + 0.10t

• C = t + 30

A line passes through the point (0, 6) and decreases by 3 units in y for every 1 unit increase in x.

Which of the following is the equation of this line?

• y = -3x + 6
• y = -3x - 6
• y = -2x + 6
• y = 3x + 6

A plant is 5 inches tall initially and grows 1.2 inches every week. Choose the right equation for the height h after w weeks.

• h=5-1.2w

• h=5w+1.2

• h=-1.2+5w

• h=5+1.2w

A taxi charges a base fare of $3 plus $0.75 for each mile traveled. If a passenger takes a round trip of 10 miles, what will be the total cost of the trip?

• $7.50

• $10.50

• $15.00

• $11.25

A car travels at a constant speed of 60 miles/hour. If the car travels for t hours, express the total distance d in terms of t, and then determine the distance traveled after 2.5 hours.

• d(t)=t/60 ; 150 miles

• d(t)=60t ; 150 miles

• d(t)= 60 + t ; 130

• d(t)=t - 60 ; 120

A recipe uses 3 cups of flour to make 2 loaves of artisan bread. If you want to make 5 loaves, but you also want to add 1.5 times the amount of flour used for each loaf to enhance the texture, how much flour will you need in total?

• 6 cups

• 7.5 cups

• 8 cups

• 9 cups

The line given by the equation y = –2x + 3 crosses the x-axis at a certain point.

Which of the following is the x-coordinate where the line intersects the x-axis?

A delivery company charges a fixed fee plus $4 per kilometer traveled. On a 5-kilometer delivery, the total charge was $32. On another 8-kilometer delivery, the charge was $44.

What does the fixed fee most likely represent?

• The variable cost per kilometer

• The average cost of fuel per trip

• A one-time processing or handling fee

• A discount applied for longer trips