AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

A
y – 1 = 6x
B
y – 1 = 3x
C
y – 7 = 2x – 6
D
y – 7 = x – 2
2
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The graph shows the exponential regression model for data representing a rabbit population after x years.

Question illustration
T
The graph of the regression model is limited to whole-number values for x.
T
The graph of the regression model is limited to whole-number values for y.
T
The graph of the regression model cannot be used to approximate the population size for year 1.
T
The graph of the regression model can be used to predict the population size for any number of years in the future.
3

The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

The number of bacteria in a sample after x days is represented using the equation . By what approximate percent does the population change per day?

Question illustration
A
4.8% decrease
B
5.0% increase
C
95.2% decrease
D
105.0% increase
5

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
6

A graph titled Cost of Erasers. The x-axis shows the number of erasers, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 0.5 to 4.5. Blue diamonds appear at points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3), (7, 3.5), (8, 4), (9, 4.5).

Question illustration
A
Each eraser costs $1.00.
B
Each eraser costs $1.50.
C
Three erasers cost $6.
D
Seven erasers cost $3.50.
7

Which is logically equivalent to the converse of a conditional statement?

A
the original conditional statement
B
the inverse of the original conditional statement
C
the contrapositive of the original conditional statement
D
the converse of the converse statement
8

An arena manager tallies the number of snack items (hot dogs, nachos, and popcorn) sold at each of three concession stands in the arena. Snack Item Hot DogsNachosPopcornTotalConcessionStandsStand A1256540230Stand B21811952389Stand C655213130 Total408236105749What is the probability that a customer purchased popcorn, given that they purchased from stand B?

A
6.9%
B
13.4%
C
14.0%
D
49.5%
9

A student collected data on the size of coffee chosen by customers at a convenience store, and whether the customers took their coffee with sugar, cream, or both. Size of Coffee SmallMediumLargeTotalCoffee AdditiveCream8152144Sugar481123Both15234280 Total274674147What percentage of customers chose a medium-sized coffee?

A
31.3%
B
32.6%
C
50.3%
D
62.1%
10

Inductive and deductive reasoning differ in which way?

A
Conclusions drawn using deductive reasoning are always false, while conclusions drawn using inductive reasoning are always true.
B
Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.
C
Conclusions drawn using inductive reasoning are always false, while conclusions drawn using deductive reasoning are always true.
D
Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
11

An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

A
y = 7,746.90(1.02)x
B
y = 7,746.90(0.02)x
C
y = 7,595.96(1.02)x
D
y = 7,595.96(0.02)x
12

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.
13

Which statement can be concluded using the true statements?If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square.If a figure is a square, then each of its angles must measure 90 degrees.

A
If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
B
If a quadrilateral has 4 equal sides and 4 equal angles, then none of its angles measures 90 degrees.
C
If all four angles in a quadriateral measure 90 degrees, the quadrilateral is a square.
D
If all four angles in a quadriateral measure 90 degrees, the quadrilateral cannot be a square.
14

A brand of frozen green beans lists a weight of 32 ounces on its bag. Because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. An inspector takes a random sample of 25 bags of green beans and records their weights. The weights and their relative frequencies are summarized in the histogram below.

Question illustration
A
31.9–32.0 ounces
B
32.0–32.1 ounces
C
32.1–32.2 ounces
D
32.2–32.3 ounces
15

The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different stores and restaurants.

Question illustration
A
1.5
B
2
C
13
D
15.5
16

The parallel dotplots below display the number of absences for students in each of two classes.

Question illustration
A
The range for the distribution of the number of absences is larger for class D.
B
The range for the distribution of the number of absences is larger for class C.
C
The IQR for the distribution of the number of absences is larger for class D.
D
The IQR for the distribution of the number of absences is larger for class C.
17

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

g
g(x) = (1.6)x + 5 − 9
g
g(x) = (1.6)x + 5 + 9
g
g(x) = (1.6)x − 9 + 5
g
g(x) = (1.6)x + 9 + 5
18

Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)?

Question illustration
A
−3 units
B
−1 units
C
2 units
D
3 units
19

What is the converse of the statement?Perpendicular lines have negative reciprocal slopes.

A
If lines have negative reciprocal slopes, then they are perpendicular.
B
If lines are perpendicular, then they have negative reciprocal slopes.
C
If lines do not have negative reciprocal slopes, then they are not perpendicular.
D
If lines are not perpendicular, then they do not have negative reciprocal slopes.
20

Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags. Because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. An inspector takes a random sample of 25 bags of green beans of each type and records their weights. The weights and their relative frequencies are summarized in the histograms.

Question illustration
A
The median weight for both types is between 32.1 and 32.2 ounces.
B
The median weight for both types is between 32.0 and 32.1 ounces.
C
The median weight for brand B is less than the median weight of brand A.
D
The median weight for brand B is greater than the median weight of brand A.

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