Let's break down the problem step by step. We need to find the number of days [tex]\( x \)[/tex] that Jerry has been doing sit-ups since the first day, given that he did 33 sit-ups. The equation provided is:
[tex]\[
\frac{y}{6} - 7 = 4
\][/tex]
Here, [tex]\( y \)[/tex] represents the total number of sit-ups Jerry has done, which is given as 33. We need to solve for [tex]\( x \)[/tex]. However, even though we are asked to solve for [tex]\( x \)[/tex], the variable [tex]\( y \)[/tex] here is actually our focus.
First, substitute [tex]\( y \)[/tex] with 33 into the equation:
[tex]\[
\frac{33}{6} - 7 = 4
\][/tex]
Now solve the equation step-by-step:
1. Divide 33 by 6:
[tex]\[
\frac{33}{6} = 5.5
\][/tex]
2. Subtract 7 from 5.5:
[tex]\[
5.5 - 7
\][/tex]
3. Calculate the result:
[tex]\[
5.5 - 7 = -1.5
\][/tex]
Since [tex]\(-1.5\)[/tex] does not equal 4, it indicates that there is no solution to the equation as it stands. Therefore, Jerry has never had a day where the sit-up total of 33 balances the equation. Thus, the correct answer is that there is no such number of days [tex]\( x \)[/tex] that satisfies the equation with [tex]\( y = 33 \)[/tex].
