i need help writing this equation and solving it

Question

Jessica would like to get an A in her algebra class. To do so, she must have an average of no less than 93%. She scored 98%, 91%, 94%, 89%, and 97% on her first five tests. Assuming all six tests count the same toward her grade, write an inequality for the range of scores she can earn on the last test and still receive an A. (Use g for the grade needed to assure Jessica gets an A.)

 

 

 

equation-

 

 

solve equation-

Answer 1

Kelly,

         Using the definition of an average i.e. X_ave=∑X_i /n where X_i are the individual data points and n=the number of dat points in the sample.

 

For our problem X_ave≥93, n=6 and X_i=98,91,94,89,97,g 

the equation is (98+91+94+89+97+g)/6≥93, or 469+g≥558 and  the solution is g≥89 

 

Please check my arithmetic for accuracy but this is the logic for writing the equation.

 

Jim