Answer:
B. 7 3/8 inches ([tex]7\frac{3}{8}[/tex] inches)
Step-by-step explanation:
So we have 3 [tex]\frac{5}{8}[/tex] to start. [tex]\frac{3}{4}[/tex] is added every day, so the number of days can be x. Our equation will look like this:
y = 3 [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{4}[/tex]x
where y is how tall the pile is and x is the number of days.
They give us a x value, which is 5, as it says "after 5 days" so we can plug that into our equation:
y = 3 [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{4}[/tex]x
y = 3 [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{4}[/tex](5)
Now, let's solve.
Multiply the 5 into the three fourths:
y = 3 [tex]\frac{5}{8}[/tex] + [tex]\frac{15}{4}[/tex]
Now we need to add them together, I am going to turn 3 [tex]\frac{5}{8}[/tex] into an improper fraction:
3 * 8 = 24
24 + 5 = 29
29 / 8
Next, let's turn 15/4 into a common denominator of 29/8 by multiplying both the numberator and the denominator by 2:
30/8
Then, let's add:
y = [tex]\frac{29}{8} +\frac{30}{8}=\frac{59}{8}[/tex]
Last, I am going to turn it into a mixed number so we can chose our answer.
[tex]\frac{59}{8}=7.375=7\frac{3}{8}[/tex]
This brings us to our answer of B.
