Discover new knowledge and insights with IDNLearn.com's extensive Q&A platform. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.
Sagot :
To determine the rate of change, often referred to as the slope, of the linear relationship modeled in the table, we can use any two points from the table and apply the slope formula. Here, we will use the first two points [tex]\((x_1, y_1) = (1, 2)\)[/tex] and [tex]\((x_2, y_2) = (3, 5)\)[/tex].
The formula to calculate the rate of change (slope) between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is given by:
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Substitute the coordinates of the first two points into the formula:
[tex]\[ \text{slope} = \frac{5 - 2}{3 - 1} \][/tex]
Perform the subtraction in both the numerator and the denominator:
[tex]\[ \text{slope} = \frac{3}{2} \][/tex]
Thus, the rate of change of the linear relationship modeled in the table is [tex]\(\frac{3}{2}\)[/tex].
The correct answer is [tex]\(\frac{3}{2}\)[/tex].
The formula to calculate the rate of change (slope) between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is given by:
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Substitute the coordinates of the first two points into the formula:
[tex]\[ \text{slope} = \frac{5 - 2}{3 - 1} \][/tex]
Perform the subtraction in both the numerator and the denominator:
[tex]\[ \text{slope} = \frac{3}{2} \][/tex]
Thus, the rate of change of the linear relationship modeled in the table is [tex]\(\frac{3}{2}\)[/tex].
The correct answer is [tex]\(\frac{3}{2}\)[/tex].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.