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Some Points about this Formula :- The formula given here is the definition of the derivative in calculus. The derivative measures the rate at which a quantity is changing. For example, we can think of velocity, or speed, as being the derivative of position - if you are walking at 3 miles (4.8 km) per hour, then every hour, you have changed your position by 3 miles.To know the solution,Refer to the above attachment .

45 + 32 + 37 = 114

114÷3 = 38

4 total quizzes,

 for a 40 average on 4 quizzes she needs 40*4 = 160 total points

for 3 quizzes she has 45 +32 +37 = 114 points

160-114 = 46, she needs at least a 46 on the 4th quiz