Refine: Comparing Different Representations of Functions

Dalila runs a 5K race at a steady rate of 11 kilometers per hour. Lulu starts a 10K race at the same time. She runs at the steady rate shown in the table. Who runs at a faster rate?

• Dalia

• Lulu

• Dalia and Lulu run at the same rate.

• Not enough information is provided.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Teff is a small grain. A traditional recipe for Ethiopian flatbread calls for 1  cups of water to 1 cup of teff flour. An online search shows the proportion used in a modern recipe. Which recipe has a greater rate of water to teff flour?

• Traditional recipe

• Modern recipe

• The recipe have the same rate

• Not enough information id provided

Tags

CCSS.6.RP.A.3A

The equation d = 40t gives the distance in kilometers cyclist A travels as a function of time in hours. Cyclist B’s distance at different times is given in the table. Which cyclist is faster? How far apart are they after 3 hours?

• Cyclist A; 24 km

• Cyclist B; 33 km

• Cyclist A; 42 km

• Cyclist B; 51 km

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Scientists release a drone and a turtle with a tracker on its shell from the surface of the ocean at the same time. The turtle immediately dives for jellyfish. The equation D = –6t gives the turtle’s elevation in feet as a function of time in seconds. The drone rises at an average rate of 7 feet per second. How much faster is the drone compared to the turtle?

• 0.5 ft/s

• 1 ft/s

• 2 ft/s

• 3 ft/s

The graph shows the acres of corn a farmer has left to plant. The equation A = 4,000 – 180d gives the acres of soybeans a neighbor has left to plant as a function of time in days. Which statement is true?

• Both farmers have 4,000 acres to plant on Day 0.

• The corn farmer plants more acres per day than the soybean farmer.

• The corn farmer will finish planting first.

• From days 1–20, the soybean farmer always has more to plant.

Tags

CCSS.HSF.LE.B.5

Tell whether the statement is Always, Sometimes, or Never true.

If two increasing linear functions have the same rate of change and different initial values, their graphs will intersect.

• Always

• Sometimes

• Never

Tags

CCSS.8.EE.B.5

Tell whether the statement is Always, Sometimes, or Never true.

If the graphs of two linear functions intersect, one function has a positive rate of change and one function has a negative rate of change.

• Always

• Sometimes

• Never

Tags

CCSS.HSF-IF.C.7A

Tell whether the statement is Always, Sometimes, or Never true.

If two proportional relationships have the same rate of change, they are the same function.

• Always

• Sometimes

• Never

Tags

CCSS.8.EE.B.5

Tell whether the statement is Always, Sometimes, or Never true.

The graphs of a linear function and a nonlinear function intersect exactly once.

• Always

• Sometimes

• Never

Tags

CCSS.HSA.REI.C.7