Graph the line that represents a proportional relationship between Y and X where the unit rate of change of Y with respect to X is 5/3. In other words, a change of 1 unit in X corresponds to a change of 5/3 units in y. What is the equation and Graph

Graph the line that represents a proportional relationship between Y and X where the unit rate of c

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Ответ:

katie673

26.04.2023

Mathematics

$\frac{1}{125}$

Step-by-step explanation:

The given expression is

$(5^{-2}) (5^{-1})$

The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents

$(5^{-2}) (5^{-1})=5^{-2-1}=5^{-3}$

Then, we use the negative exponent property

$5^{-3}=\frac{1}{5^{3} }$

Finally, we solve the power

$\frac{1}{5^{3} }=\frac{1}{125}$

Therefore, the given expression is equivalen to $\frac{1}{125}$ .

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Graph the line that represents a proportional relationship between Y and X where the unit rate of change of Y with respect to X is 5/3￼. In other words, a change of 1 unit in X corresponds to a change of 5/3 units in y. What is the equation and Graph