Question

Jose's school has 426 students. His principal has promised the Student Council that their idea will be carried out if they can
get at least 25% of the student population to sign a petition So far, 82 students have signed the petition Jose used the
following steps to write an inequality that can be used to determine the number of student signatures still needed
Step 1 Declare the variable: Let x = the number of student signatures still needed
total number of signatures needed X+82
Step 2 Create a ratio equivalent to total number of students in the school
Step 3 Convert 25% to a decimal 25% = 0.25
X+82
Step 4 Write the inequality 726 50.25
426
What is Jose's error?
In Step 1, x should be equal to the total number of students in the school,
O In Step 2, the ratio should be 426
In Step 3, the decimal should be 0.025.
X+82
In Step 4, the inequality should be 426 2025
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Answer 1

Answer:

D) In Step 4, the inequality should be x+82/426 is at least 0.25

Step-by-step explanation:

Answer 2

The error that Jose makes in the given expression is that:

D). In Step 4, the inequality should be x+82/426 a minimum of 0.25.

Find the variable

Given that,

Step 1:

Assuming $x$ as the variable to denote the no. of signatures from the students.

Step 2:

$(x + 82)/426$ which is correct because it displays the ratio equivalently regarding the number of signatures needed upon the total students present in the school.

Step 3:

This also correctly displays the decimal form of 25% is $0.25$

Step 4:

This displays an error because to make this inequality Jose requires a minimum of 25% or 0.25 but he gets:

$(x + 82)/426$  $\leq$ $0.25$

Thus, option D is the correct answer.

Learn more about "Variable" here:

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