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Relationship A has a greater rate than Relationship B. This table represents Relationship B.Hours worked2458Amount paid30.4060.8076121.60Which equation could represent Relationship A?Hours worked is represented by x and Amount paid is represented by y.Select each correct answer.y = 15.4xy = 15.2xy = 16.4xy = 14.9x

Relationship A Has A Greater Rate Than Relationship B This Table Represents Relationship BHours Worked2458Amount Paid304060807612160Which Equation Could Represe class=

Sagot :

ANSWER:

[tex]\begin{gathered} y=15.4x \\ y=16.4x \end{gathered}[/tex]

STEP-BY-STEP EXPLANATION:

We can calculate the equation that represents relationship B, calculating the slope using the data from the table, like this:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{replacing} \\ m=\frac{121.60-30.40}{8-2} \\ m=\frac{91.2}{6} \\ m=15.2 \end{gathered}[/tex]

Therefore, the equation of relationship B is:

[tex]y=15.2x[/tex]

Therefore, the relationship A, having a greater rate, could be the following:

[tex]\begin{gathered} y=15.4x \\ y=16.4x \end{gathered}[/tex]

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