Find the Rule of a Function

The almond extract a remaining in an 8-oz bottle decreases by 1/6 oz for each batch b of waffle cookies made. Make a function rule.

• a = 8 - ⅙ b

• a = ⅙ b

• a = 6b

• b = 6a

Tags

CCSS.HSF-BF.A.1A

A helicopter hovers 40 ft above the ground, then it climbs at a rate of 21 ft/sec. Write a rule for its height h as a function of time t seconds. Then find its height after 45 seconds.

• h(t) = 40 + 21 and 61 ft

• h(t) = 61t and 2745 ft

• h(t) = 21 + 40t and 1821 ft

• h(t) = 40 + 21t and 985 ft

Tags

CCSS.HSF-BF.A.1A

A team of divers gathers at an elevation of -10 ft. Then the team dives at a rate of -50 ft/min. Write a function rule for the depth d of the divers as a function of time t minutes. Then find their depth after 3 minutes.

• d = -10 - 50t and -160 ft

• d = 10 - 50t and -140 ft

• d = 10 + 50t and 160 ft

• d = -10t - 50 and -80 ft

Tags

CCSS.HSF-BF.A.1A

You go to dinner and leave a 15% tip for your server. In your wallet, you only have $55. Write a function rule for the amount of money you would have left m if the meal costs x dollars before the tip

• m(x) = 55 - c

• m(x) = 55 − c − 0.15c

• m(x) = c + 55

• m(x) = c - 55 + 0.15

Tags

CCSS.HSF-BF.A.1A

A car rental agency charges $29 per day to rent a car and $13.95 per day for GPS. Customers are also charged $40 for a full tank of gas. Write a rule for the total cost t of renting a car for d days.

• t(d) = 40d + 42.95

• d = 40t + 42.95

• t(d) = 40 + 42.95d

• d(t) = 82.95t

Tags

CCSS.HSF-BF.A.1A

y is 5 less than the product of 4 and x

• y = 4x - 5

• y < 4x

• y = 5 - 4x

• y + 5 = 4x

Tags

CCSS.6.EE.C.9

Find the function rule for the function table.

• 2/n

• n + 2

• 2n

• n - 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Write the function rule for the following table.

•  5x

• 5x + 1

•  x + 5

•  x + 1

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Find the function rule.

• y = -2x +10

• y = -2x -10

• y = 2x +10

• y = 2x-10

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The output is four times the input.

• y = x/4

• 4x

• y = 4x

• y = x +4

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2