Classwork 1. A plane flew at a constant speed between Denver and Chicago. It took the
plane 1.5 hours to fly 915 miles. Complete the table.
Time in Hours (x)
Distance in Miles (y)
Constant (3)
1
1.5
915
2
2.5
Hint - Find the constant of proportionality first (y/x=k).

Time in hours (x) ==> distance in miles (y)

1 ==> 610

2 ==> 1,220

2.5 ==> 1,525

Note: constant of proportionality is same all through = 610

Step-by-step explanation:

Constant of proportionality =

To get the y-values (miles) for each given x-value (hours), multiply each x-value by the constant of proportionality, 610. Constant of proportionality is same all through.

Thus,

Time in hours (x) ==> distance in miles (y)

1 ==> 1*610 = 610

2 ==> 2*610 = 1,220

2.5 ==> 2.5*610 = 1,525

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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