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Scarier benchmark 2022 questions

Total questions: 11

Worksheet time: 6mins

Name
Class
Date
1.
a)

The scatter plot does not show a correlation and does not necessarily imply that there must be causation between outside temperature and the number of coffees sold.

b)

The scatter plot does not show a correlation and implies that there must be causation between outside temperature and the number of coffees sold.

c)

The scatter plot shows a correlation and implies that there must be causation between outside temperature and the number of coffees sold.

d)

The scatter plot shows a correlation but does not necessarily imply that there must be causation between outside temperature and the number of coffees sold.

2.

An artist paints ceramic tiles, which cost $𝟒 per tile for supplies.

• The function 𝒈(𝒙) = 𝟒(𝒙 + 𝟏𝟏) represents the total cost, in dollars, for the supplies needed to paint 𝒙 square tiles and 𝟏𝟏 triangular-shaped tiles.

What does 𝒈(𝟗) = 𝟖𝟎 represent?

a)

The artist paints 9 square tiles, and the total cost is $80 for the supplies needed to paint the square and triangular-shaped tiles.

b)

The artist paints 9 square tiles, and the total profit is $80 for selling the square and triangular-shaped tiles.

c)

The artist paints 80 square tiles, and the total cost is $9 for the supplies needed to paint the square and triangular-shaped tiles.

d)

The artist paints 80 square tiles, and the total profit is $9 for selling the square and triangular-shaped tiles.

3.

A landscaping company sees that the number of customers increases by 𝟏𝟐% each month. If the company has 𝟔𝟖 customers when it opens, which function, 𝒇(𝒙), models the number of customers in the 𝒙th month?

a)

f(x)=68(0.12)xf\left(x\right)=68\left(0.12\right)^x  

b)

f(x)=68(1.12)xf\left(x\right)=68\left(1.12\right)^x  

c)

f(x)=68+(0.12)xf\left(x\right)=68+\left(0.12\right)^x  

d)

f(x)=68+(1.12)xf\left(x\right)=68+\left(1.12\right)^x  

4.

A landscaper plants butterfly bushes, that each occupy an area of 𝒙 square feet, in an empty garden. The expression (−𝟓𝒙 + 𝟏𝟔𝟎) square feet represents the area of the garden that remains empty once the landscaper plants the butterfly bushes in the garden.

Which statement is true?

a)

160 is a variable that represents the combined area the butterfly bushes take up in the garden.

b)

160 is a variable that represents the area of the garden before any butterfly bushes planted in the garden.

c)

160 is a constant that represents the combined area the butterfly bushes take up in the garden.

d)

160 is a constant that represents the area of the garden before any butterfly bushes planted in the garden.

5.

Each apartment includes 𝟐 parking spaces, but on average, only 𝟏. 𝟕 parking spaces per apartment are used. What is the most reasonable estimate for the number of parking spaces used?

a)

21 parking spaces

b)

25 parking spaces

c)

71 parking spaces

d)

84 parking spaces

6.
a)

I and II only

b)

I and III only

c)

II and III only

d)

I, II, and II

7.
a)

t2−3t<0t^2-3t<0  

b)

t2−3t>0t^2-3t>0  

c)

t2−3t<3t^2-3t<3  

d)

t2−3t>3t^2-3t>3  

8.

Which data set has the smallest interquartile range?

a)

0,0,0,1,3,5,10

b)

0,2,2,2,5,6,6

c)

2,3,5,5,6,10,11

d)

5,8,10,10,11,15,15

9.

In 𝟐𝟎𝟐𝟎, a magazine has 𝟏𝟐𝟖, 𝟓𝟎𝟎 subscribers. The number of subscribers decreases by 𝟏𝟏% each year.

Which function, 𝑺(𝒕), represents the number of subscribers 𝒕 years after 𝟐𝟎𝟐𝟎?

a)

S(t)=128,500(0.89)tS\left(t\right)=128,500\left(0.89\right)^t  

b)

S(t)=128,500(0.11)tS\left(t\right)=128,500\left(0.11\right)^t  

c)

S(t)=128,500−0.89tS\left(t\right)=128,500-0.89^t  

d)

S(t)=128,500−0.11tS\left(t\right)=128,500-0.11^t  

10.

A homeowner considers the appreciation of a house by creating a function to represent the value of the house, 𝒇(𝒙), based on the number of years since the house was purchased, 𝒙. Which best represents the domain of the function?

a)

x≤0x\le0  

b)

x≥0x\ge0  

c)

f(x)≤0f\left(x\right)\le0  

d)

f(x)≥0f\left(x\right)\ge0  

11.
a)

$40 per month

b)

$65 per month

c)

$125 per month

d)

$165 per month