Write an equation or inequality to model the situation

Question

The simple interest earned on a principal of five hundred dollars at an annual rate of p percent is less than twenty five dollars

Answer 1

Dear Lfkb,

     Just go through the problem and underline or highlight every number or word that is important.

 

          I=prt                                      principal=$500                                   r=p/100                        < 25

The simple interest earned on a principal of five hundred dollars at an annual rate of p percent is less than twenty-five dollars.

 

simple interest formula  I=p*r*t.    given:  principal=$500        Rate: R% per year

 

 

p*r*t< $25     Substitute the values given

 

 

500* r/100 * 1 year < $25      I am writing r/100 because percent means part of 100. Rewrite the problem.

 

 

500/100 *r *1 < $25           Now, just simplify this inequality, and you have your answer.

 

 

(You should get r <5. This answer represents the rate, which can be written as  5%, or 5/100, or .05.  Check it to

 

see if it works, for example, what if you used 4%, would the answer be less than $25?  What if you used 6%?  What

 

happens then?)    

 

If I have helped you, please give me a thumbs up.

         

                                                                          Susan C.