what statement best describes the rate of change

ATI TEAS 7

TEAS 7 Math Practice Test

1. Which statement best describes the rate of change?

A. Every day, the snow melts 10 centimeters.
B. Every day, the snow melts 5 centimeters.
C. Every day, the snow increases by 10 centimeters.
D. Every day, the snow increases by 5 centimeters.

Correct answer: B

Rationale: The rate of change refers to how one quantity changes concerning another quantity. In this scenario, the rate of change is the amount of snow melting per day, which is 5 centimeters. This is determined by the slope of the graph, indicating a decrease in snow depth. Choices C and D incorrectly describe an increase in snow depth, while choice A exaggerates the rate of snow melting compared to the actual value of 5 centimeters per day.

2. In a study of the average weight of babies at different time intervals after birth, the babies’ measured weight is which of the following variables?

A. Independent
B. Control
C. Dependent
D. Constant

Correct answer: C

Rationale: The baby's measured weight is the dependent variable as it depends on the time intervals.

3. What is a direct proportion? What is an inverse proportion?

A. Direct: Both quantities increase or decrease together; Inverse: When one quantity increases, the other decreases by the same factor
B. Direct: Both quantities decrease together; Inverse: When one quantity increases, the other increases
C. Direct: One quantity stays the same while the other increases; Inverse: Both quantities increase together
D. Direct: One quantity increases while the other decreases; Inverse: Both quantities decrease together

Correct answer: A

Rationale: In a direct proportion, both quantities increase or decrease together. This means that as one quantity goes up, the other also goes up, and vice versa. On the other hand, in an inverse proportion, when one quantity increases, the other decreases by the same factor. Therefore, choice A is correct as it accurately defines direct and inverse proportions. Choices B, C, and D are incorrect because they do not accurately describe the relationship between quantities in direct and inverse proportions.

4. How can you visually differentiate between a histogram and a bar graph?

A. A bar graph has gaps between the bars; a histogram does not
B. A bar graph displays frequency; a histogram does not
C. A histogram illustrates comparison; a bar graph does not
D. A bar graph includes labels; a histogram does not

Correct answer: A

Rationale: The key difference between a histogram and a bar graph is that a bar graph has gaps between the bars, while a histogram does not. This feature helps in visually distinguishing between the two. Choice B is incorrect because both types of graphs can show frequency. Choice C is incorrect as both graphs can be used for comparison. Choice D is incorrect as both types of graphs can have labels for better understanding.