Question

If students scored a 95% or higher, write an equation involving that relates the number of students who scored a 95% or higher to the total number of students in Mr. Johnson's third and fourth period classes.

a) 0.3x=50
b) 0.7x=50
c) 0.3x=0.7x
d) 0.7x=0.3x+50

Answer 1

It accurately represents the relationship between the number of students scoring 95% or higher (0.7x) and the total number of students (x) in Mr. Johnson's third and fourth period classes. Therefore,the correct Option is Option (d) 0.7x = 0.3x + 50.

Step-by-step explanation:

In this scenario, let x represent the total number of students in Mr. Johnson's third and fourth period classes. The equation aims to express the relationship between the number of students who scored 95% or higher (0.7x) and the total number of students (x). The equation 0.7x = 0.3x + 50 is derived from the condition that students scoring 95% or higher (0.7x) is 50 more than those scoring below 95% (0.3x).

To break down the equation, subtracting 0.3x from both sides isolates the term related to students scoring below 95%, resulting in 0.4x = 50. This equation signifies that 40% of the total students represent those scoring below 95%. Further solving for x involves dividing both sides by 0.4, yielding x = 125. Therefore, the total number of students in Mr. Johnson's classes is 125.

Substituting this value back into the original equation confirms its validity: 0.7(125) = 87.5, and 0.3(125) + 50 = 87.5 as well. Thus, the equation 0.7x = 0.3x + 50 accurately models the relationship between the number of students scoring 95% or higher and the total number of students in Mr. Johnson's classes.

Therefore,the correct Option is Option (d) 0.7x = 0.3x + 50.