Quiz about NC Math I EOC Review

Question 1

A company uses the formula T = 581s + 150p to determine the total cost to

purchase s computers and p printers. Which formula can be used to determine the number of printers purchased, given the total cost, T, and the number of

computers purchased?

Accepted Answer

$$p=\frac{T-581s}{150}$$

Answer

$$p=\frac{T}{150}-581s$$

Answer

$$p=T-\frac{581s}{150}$$

Answer

p = T - 581s - 150

Question 2

Which data point did the statistician exclude?

Accepted Answer

(8.2, 24.3)

Answer

(2.3, 11.0)

Answer

(4.2, 16.5)

Answer

(6.4, 23.1)

Question 3

A set of nine data points is shown.

Which statement is true if a tenth data point of 45 is added to the data set?

Accepted Answer

The mean will increase and the median will remain the same.

Answer

The mean and median will both increase.

Answer

he mean will increase and the median will decrease.

Answer

The mean and median will both decrease.

Question 4

A club began with 3 members. Each month, each member brought one new

member. Which function can be used to determine the number of members

x months after the club began?

Accepted Answer

$$f(x)=3(2)^x$$

Answer

f(x) = 2x + 3

Answer

f(x) = 3x + 1

Answer

$$f(x)=1.5(2)^x$$

Question 5

Which choice could be modeled by a linear function?

Accepted Answer

the monthly cost, y, to use a cell phone for x minutes at a rate of

4 cents per minute

Answer

the amount of money, y, in an account after x years earning 4% interest

compounded annually

Answer

the height, y, of a ball after bouncing x times, if each bounce reaches 2/3

the previous height

Answer

the amount, y, of radioactive material remaining after x years when decay

occurs at a rate of 30% each year

Question 6

Oscar planted a tomato seed in his garden. Each day he recorded the height of the

tomato plant.

During which interval did the tomato plant grow the fastest?

Accepted Answer

Day 8 to Day 10

Answer

Day 4 to Day 6

Answer

Day 6 to Day 8

Answer

Day 10 to Day 12

Question 7

Select the point at which the graphs of the two functions intersect.

Accepted Answer

(-3, -20)

Accepted Answer

(2, 35)

Answer

(-5, 0)

Answer

(6, 79)

Question 8

The table below shows the U.S. average life expectancy at birth, in years, in various decades.

What is the meaning of the slope of the linear best-fit equation for the data?

Accepted Answer

The average life expectancy at birth increases by about 0.2 each year.

Answer

The predicted average life expectancy at birth in 1930 was about 62.7 years.

Answer

The predicted average life expectancy at birth in 1930 was about 57.6 years.

Answer

The average life expectancy at birth increases by about 6.7 each year.

Question 9

Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does

Abby need to get on her fifth quiz to have an average of exactly 91 on her history

quizzes?

Accepted Answer

90

Answer

94

Answer

98

Answer

100

Question 10

Two functions are shown below.

f(x) = 3x + 7

g(x) = 2x + 12

What is the value of x where the graphs of f(x) and g(x) intersect?

Accepted Answer

5

Answer

-22

Answer

-5

Answer

22

Question 11

Marcus measured the height, in inches, y, of plants over the course of 3 weeks.

The correlation coefficient between the number of days, x, and the height of the

plants is 0.85. Which could be concluded based on the correlation coefficient of the data?

Accepted Answer

There is a strong relationship showing that as the number of days increases,

the height of the plants increases.

Answer

There is a strong relationship showing that as the number of days increases,

the height of the plants decreases.

Answer

There is a weak relationship showing that as the number of days increases,

the height of the plants increases.

Answer

There is a weak relationship showing that as the number of days increases,

the height of the plants decreases.

Question 12

The table below shows the weights of 8 different bears at a zoo.

If the weight of the polar bear is removed, which statement is true?

Accepted Answer

The mean decreases more than the median because the polar bear is a high

outlier.

Answer

The mean decreases less than the median because the polar bear is a high

outlier.

Answer

The mean decreases more than the median because the high value balances

the low value.

Answer

The mean decreases less than the median because the high value balances

the low value.

Question 13

Select each situation that can be modeled with a linear function.

Accepted Answer

A taxi charges an initial fee of $2.00 and $1.50 for each additional mile.

Accepted Answer

An airplane flying at an altitude of 33,000 feet descends at a rate of 20 feet per minute.

Accepted Answer

A pizza restaurant charges $5.50 per pizza and $0.50 for each additional topping.

Answer

The population in a town decreases by 15% each year.

Answer

A cell doubles in size every 2 hours.

Question 14

The table displays the walking heart rate and running heart rate of

eight girls in beats per minute (bpm).

Using the linear best-fit model for the data, what is the predicted running heart

rate of a girl whose walking heart rate is 100 bpm?

Accepted Answer

163 bpm

Answer

161 bpm

Answer

165 bpm

Answer

167 bpm

Question 15

What is the midpoint of the longest side of the triangle with vertices (1, 4), (3, 4),

and (3, 6)?

Accepted Answer

(2, 5)

Answer

(1, 1)

Answer

(2, 4)

Answer

(3, 5)

Question 16

The table below shows the hours, x, spent working on a new road and the

distance, y, of finished road.

What is the slope of the line that fits these data?

Accepted Answer

$$\frac{3}{100}$$

Answer

$$\frac{3}{400}$$

Answer

$$\frac{3}{25}$$

Answer

3

NC Math I EOC Review

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