⦁ A car's speed increases as it merges onto a highway. The car travels at 65 mph on the highway until it slows to exit. The car then stops at three traffic lights before reaching its destination. Draw a sketch of a graph that shows the car's speed over time.
⦁ For the table, identify the independent and dependent variables. Explain the relationship using words, and an equation (equation example: C = 2s + 20).
Number of Snacks Purchased, “s” Total Cost, “C”
0 $18
1 $21
2 $24
3 $27
⦁ Graph the function shown on this table. Tell whether the function is linear or nonlinear.
x y
1 0
2 1
3 8
4 20
⦁ A truck originally held 24 chairs. You remove 2 chairs at a time. The number of chairs n remaining after you make t trips is represented by n = 24 − 2t. Will this be a continuous or discreet graph? Why?
⦁ Write a function rule to represent the situation: Your total cost C for hiring a garden designer is $200 for an initial consultation plus $45 for each hour h the designer spends drawing plans.
⦁ Is this relation a function {(−1, 7), (9, 4), (3, −2), (5, 3), (9, 1)}? Why or why not?
⦁ Evaluate the function for x = 2, then evaluate the function for x = 7.
h(x) = −4x + 61 (SHOW YOUR WORK)
⦁ Find the next two terms of the difference.
−2,−5,−8,−11,…
⦁ Tell whether the sequence is arithmetic. If it is, identify the common difference.
−15,−5,5,15,…