To solve the equation [tex]\(1.25 + r = 4\)[/tex], we need to isolate the variable [tex]\(r\)[/tex]. Here’s the detailed step-by-step solution:
1. Understand the equation: We start with the equation [tex]\(1.25 + r = 4\)[/tex]. Our goal is to solve for [tex]\(r\)[/tex].
2. Isolate the variable [tex]\(r\)[/tex]: Subtract [tex]\(1.25\)[/tex] from both sides of the equation to get [tex]\(r\)[/tex] by itself on one side. This can be shown as:
[tex]\[
1.25 + r - 1.25 = 4 - 1.25
\][/tex]
3. Simplify each side:
[tex]\[
r = 4 - 1.25
\][/tex]
4. Calculate the right side: Perform the subtraction on the right-hand side to find [tex]\(r\)[/tex]:
[tex]\[
r = 2.75
\][/tex]
So, the solution to the equation [tex]\(1.25 + r = 4\)[/tex] is [tex]\(r = 2.75\)[/tex].
Therefore, the correct answer is:
[tex]\[ r = 2.75 \][/tex]
