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Every week Marcela deposits $45 in a bank account that she opened with an initial
deposit of $250, so that after n weeks her balance (in dollars) is 250 + 45n. Her
brother Ronnie withdraws $30 each week from his own bank account, which he
opened with an initial deposit of $145, so that after n weeks his balance is 145-
30n. Express the ratio of Marcela's balance to Ronnie's as a rational function, and
simplify

Respuesta :

The simplified form of the ratio of Marcela's balance to Ronnie's is [tex]\frac{50 + 9n}{29 -6n}[/tex]

Simplifying an expression

From the question, we are to express the ratio of Marcela's balance to Ronnie's as a rational function

From the given information,

Marcela's balance = 250 + 45n

and

Ronnie's balance = 145 - 30n

Thus,

The ratio of Marcela's balance to Ronnie's is

[tex]\frac{250 + 45n}{145 -30n}[/tex]

Simplifying

[tex]\frac{250 + 45n}{145 -30n}[/tex]

[tex]\frac{5(50 + 9n)}{5(29 -6n)}[/tex]

[tex]= \frac{50 + 9n}{29 -6n}[/tex]

Hence, the simplified form of the ratio of Marcela's balance to Ronnie's is [tex]\frac{50 + 9n}{29 -6n}[/tex]

Learn more on Simplifying an expression here: https://brainly.com/question/14191219

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