1. the rectangle below is cut along the dotted line to form two triangles. which value best represents the…

1. the rectangle below is cut along the dotted line to form two triangles. which value best represents the area of one of the triangles? 5 in 13 in 12 in a. 78 in² b. 90 in² c. 60 in² d. 30 in² 2. which of the following would not be found on a consumers credit report? a. a mortgage loan b. a checking account balance c. a student loan d. how long the consumer has had the credit card 3. mr. james is teaching his students about the volume of rectangular prisms. he has various rectangular prisms with a height of 6 inches. the table shows the relationship between the base of the prism and its volume. which equation can be used to find b, the area of the base with a volume of v? a. v = bh/6 b. b = v/6 c. b = v·6 d. v = 6/b area of the base (b) volume (v) 3 in 18 in³ 6 in 36 in³ 12 in 72 in³ 18 in 108 in³ 4. the tables show the relationship between x and y for two data sets. which statements about data set a and data set b are true? a. data set a shows a multiplicative relationship because y is 3.5 times x. data set b shows an additive relationship because y is 4 more than x. b. both sets show additive relationships. in data set a, y is 3.5 more than x, and in data set b, y is 4 more than x. c. both sets show multiplicative relationships. in data set a, y is 3.5 times x, and in data set b, y is 5 times x. d. data set a shows an additive relationship because y is 3.5 more than x. data set b shows a multiplicative relationship because y is 5 times x. data set a data set b x y x y 1 3.5 1 5 2 7 2 6 3 10.5 3 7 4 14 4 8

1. the rectangle below is cut along the dotted line to form two triangles. which value best represents the area of one of the triangles? 5 in 13 in 12 in a. 78 in² b. 90 in² c. 60 in² d. 30 in² 2. which of the following would not be found on a consumers credit report? a. a mortgage loan b. a checking account balance c. a student loan d. how long the consumer has had the credit card 3. mr. james is teaching his students about the volume of rectangular prisms. he has various rectangular prisms with a height of 6 inches. the table shows the relationship between the base of the prism and its volume. which equation can be used to find b, the area of the base with a volume of v? a. v = bh/6 b. b = v/6 c. b = v·6 d. v = 6/b area of the base (b) volume (v) 3 in 18 in³ 6 in 36 in³ 12 in 72 in³ 18 in 108 in³ 4. the tables show the relationship between x and y for two data sets. which statements about data set a and data set b are true? a. data set a shows a multiplicative relationship because y is 3.5 times x. data set b shows an additive relationship because y is 4 more than x. b. both sets show additive relationships. in data set a, y is 3.5 more than x, and in data set b, y is 4 more than x. c. both sets show multiplicative relationships. in data set a, y is 3.5 times x, and in data set b, y is 5 times x. d. data set a shows an additive relationship because y is 3.5 more than x. data set b shows a multiplicative relationship because y is 5 times x. data set a data set b x y x y 1 3.5 1 5 2 7 2 6 3 10.5 3 7 4 14 4 8

Answer

1.

Explanation:

Step1: Recall triangle - area formula

The area of a triangle is $A=\frac{1}{2}bh$. When a rectangle is cut into two triangles, the base $b$ and height $h$ of the triangle are the length and width of the rectangle. Here, $b = 12$ in and $h=5$ in.

Step2: Calculate the area

$A=\frac{1}{2}\times12\times5=\frac{12\times5}{2}=30$ in².

Answer:

D. 30 in²

2.

Brief Explanations:

A consumer's credit report contains information related to credit - such as loans and credit card history. A checking account balance is a part of a consumer's banking information, not credit information.

Answer:

B. A checking account balance

3.

Explanation:

Step1: Recall volume formula for rectangular prism

The volume formula of a rectangular prism is $V = Bh$, where $B$ is the area of the base and $h$ is the height. Given $h = 6$ inches, we can solve for $V$: $V=Bh$ and $B=\frac{V}{h}$. Substituting $h = 6$ gives $B=\frac{V}{6}$.

Answer:

B. $B=\frac{V}{6}$

4.

Brief Explanations:

For Data Set A, when $x = 1,y=3.5$; when $x = 2,y = 7$ (since $2\times3.5=7$), so $y = 3.5x$, which is a multiplicative relationship. For Data Set B, when $x = 1,y=5$; when $x = 2,y = 6$, and $y=x + 4$ (e.g., $5=1 + 4$ and $6=2+4$), which is an additive relationship.

Answer:

A. Data Set A shows a multiplicative relationship because y is 3.5 times x. Data Set B shows an additive relationship because y is 4 more than x.