Answer:
Marty's with a slope of 1/3
Step-by-step explanation:
The functions Marty and Ethan wrote are analyzed the find the slope of each of the function
The equation Marty wrote is presented here as follows;
[tex]y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right)[/tex]
Marty's equation can be written in slope and intercept form, y = m·x + c, as follows;
[tex]y = \dfrac{1}{3} \cdot\left (x + 9 \right) - 3[/tex]
[tex]y = \dfrac{1}{3} \cdot x + \dfrac{9}{3} \right) - 3 = \dfrac{1}{3} \cdot x + 0[/tex]
[tex]y = \dfrac{1}{3} \cdot x[/tex]
By comparison, the slope of the function, m = 1/3
[tex]\therefore \ the \ slope \ of \ Marty's \ function, \ y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right), \ m =\dfrac{1}{3}[/tex]
Marty's function has a slope of m = 1/3
Ethan has the following two column table;
[tex]\begin{array}{rl}x&y\\-4&9.2\\-2&9.6\\0&10\\2&10.4\end{array}[/tex]
The slope, m, of the data in the above table is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;
[tex]Slope, \, m =\dfrac{10.4-9.2}{2-(-4)} = \dfrac{1.2}{6} = \dfrac{1}{5}[/tex]
Ethan's function has a slope of m = 1/5
Therefore;
Marty's slope of 1/3 is larger, given that 1/3 > 1/5.
Answer:
C. Marty’s with a slope of 1/3
Step-by-step explanation:
Did the test and got it correct
