Im Algebra I Unit 4

Which equation represents the function?

Harry Potter has 10,000 gold coins in his vault at Gringotts. Each week, he takes outs 850 gold coins for his expenses. Function g gives the remaining amount of gold coins as a function of the number of weeks, w, since Harry started taking out the gold coins. Use function notation to write a rule that defines function g.

Harry Potter has 10,000 gold coins in his vault at Gringotts. Each week, he takes outs 850 gold coins for his expenses. Function g gives the remaining amount of gold coins as a function of the number of weeks, w, since Harry started taking out the gold coins.

Which graph represents a graph of function g on the coordinate plane.

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Harry Potter has 10,000 gold coins in his vault at Gringotts. Each week, he takes outs 850 gold coins for his expenses. Function g gives the remaining amount of gold coins as a function of the number of weeks, w, since Harry started taking out the gold coins. Solve the equation g(w) = 9150 and explain what the solution means in this situation.

• g(1) = 9150, After one week, Harry has 9150 gold coins remaining in his vault.

• g(9150) = 1, After 9150 weeks, Harry has 1 gold coin remaining in his vault.

• g(1)=9150, After one week, Harry has taken out 9150 gold coins from his vault.

• g(9150) = 1, After 1 year, Harry has taken out 9150 gold coins from his vault.

Function s gives the elevation in meters of Jai and her friend t minutes after they left the base camp at the Vail ski resort. Select all statements in function notation that represent the situation:

• s(20) > s(30)

• s(35) = 10

• s(t) = 60 when t is 30.

• s(15) = 20

• s(35) > s(5)

Functions X and Y give the number of first graders in School 1 and School 2, respectively, in year t. Which function value is greater X(2014) or Y (2014)?

• School 1

• School 2

• Neither, they are the same.

Farmer John uses a function to determine the weight of his cows. Function c gives the weight of a cow, in pounds, when it is y years old. Which statement represents the meaning of the equation c(3) = 250 in this situation?

• The weight of the cow is 250 kilograms when it is 3 months old.

• The weight of the cow has been 3 pounds for 250 months.

• The cow weights 250 pounds when it is 3 years old.

• The cow weighs 3 pounds when it is 250 years old.

Function b gives the distance in miles of Igor h hours after he started his daily school bus route. Select all statements in function notation that represent the situation:

• b(1) = 8

• b(7) = 4

• b(h) = 16 when h is 5.

• b(2) =b(7)

• b(8) = 0

When a field goal kicker kicks a football, the football travels both vertically and horizontally. The graph shows the height of the football measured in meters based on its horizontal distance measured in meters. Select all statements that are true about the graph and the situation it represents:

• The football hits the ground after traveling 35 meters across the football field.

• The function has the minimum value at the vertical intercept.

• The horizontal intercept is when the ball goes through the field goal posts.

• There are multiple times in the graph that the football is at its minimum value.

• The football 6 meters high at some point between 35 and 40 meters from where it was kicked.

Function L gives the number of Legos that can be stacked by a human in m minutes. Use function notation to represent this statement: 10 minutes after Allen started stacking the Legos he had the same amount of Legos in the stack as he did 50 minutes after he started stacking.

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