HELP, HURRY PLEASE !!!
Shown below are the steps a student took to solve the simple interest formula A = P(1 + rt) for r.
A = P(1 + rt)
A = P+ rt
A - P= rt
r = (A - P)/t
Explain the algebraic error in the student’s work. Then, state how the equation can be modified to produce the correct result.

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dashkam98 dashkam98 · Answer 1 · 2017-04-09T05:50:30+02:00

the student didnt distribute the P correctly

A = P(1 + rt)
A = P+Prt
A-P=Prt
(A-P)/(Pt)=r

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eudora eudora · Answer 2 · 2021-08-19T20:08:29+02:00

Steps taken by the student to solve the formula of the simple interest for the values of '[tex]r[/tex]',

Step - 1 : [tex]A=P(1+rt)[/tex]

Step 2 : [tex]A=P+rt[/tex]

Step 3 : [tex]A-P=rt[/tex]

Step 4 : [tex]r=\frac{A-P}{t}[/tex]

There is an error in step 2 where distributive property was not followed.

[tex]A=P+rt[/tex]

Correct steps should be,

Step 1 : [tex]A=P(1+rt)[/tex]

Step 2 : [tex]A=P+Prt[/tex] [By distributive property]

Step 3 : [tex]A-P=Prt[/tex]

Step 4 : [tex]r=\frac{A-P}{Pt}[/tex]

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