Per 6 IM 1 Sem 1 Final Assessment Part 2 (12/16/2025) - James Parson | Library

This is Part 2 of the Semester 1 Final for IM 1.

You may use your notes, homework, and study guides. Remember to show your work on all problems that require it.

And double remember to answer every question. You will receive credit for any work you do.

Good Luck!

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12

Which of these sequences have a pattern that is arithmetic. (It has repeated addition or subtraction)

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40

A grocery cart is 38 inches long. When the grocery carts are put away in a nested row, the length of the row depends on how many carts are nested together. Each cart added to the row adds 12 inches to the row length.

null This data has a pattern. What is the common difference (d) ?

What is the first term (starting point) of this data?

Write the explicit formula to find the nᵗʰ term of this sequence [ f(n)=f(1)+(n-1)(d) ]:

According to the rule you created, how long would the row be if there were 10 shopping carts nested together?

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40

Graph both of these lines (remember y=mx+b):

f(x)=3x+5

g(x)=2x+5

What is one thing they have in common?

Which one has a greater slope f(x) or g(x)?

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5

An accountant charges an initial fee of $100 plus a rate of $40 per hour. The function that shows the total fees charged is f(x)=40x+100. How would the graph of the function change if the accountant raised his initial rate to $120?

The line’s slope would be less steep.

The y-intercept would be higher.

The line’s slope would be steeper.

The y-intercept would be lower

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10

Canyon Springs Theater is selling tickets to their spring musical. Seats cost $20 each, and snacks cost an additional $5 each.
The Theater needs to raise $400 to consider this event a success. (10, 40) is a solution to the equation, which represents 10 seats and 40 snacks.
What is another possible combination of seats and snacks that would meet the goal of $400?

10 seats and 20 snacks; (10,20)

20 seats and 40 snacks; (20,40)

5 seats and 10 snacks; (5,10)

15 seats and 40 snacks; (15,40)

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10

The graph below shows the relationship between the number of tortilla chips and total number of calories of the chips. The slope is the represents the calroies per chip.

What is the slope of this line?

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10

What are the x and y intercepts of the line graphed below: null Write your answer in coordinate form (x,y)