Question

select the correct answer.
ryan works as a florist. the number of bouquets he makes is given by the equation $b = \frac{1}{4}h$, where $b$ is the number of bouquets and $h$ is the number of hours. how many hours would it take him to make 6 bouquets?
a. 6
b. 8
c. 12
d. 18
e. 24

Explanation:

Step1: Identify the equation and known value

The equation is \( b=\frac{1}{4}h \), and we know \( b = 6 \) (number of bouquets).

Step2: Substitute \( b = 6 \) into the equation

Substitute \( b = 6 \) into \( b=\frac{1}{4}h \), we get \( 6=\frac{1}{4}h \).

Step3: Solve for \( h \)

To solve for \( h \), multiply both sides of the equation by 4: \( h=6\times4 = 24 \)? Wait, no, wait. Wait, maybe I misread the equation. Wait, the problem says "the number of bouquets he makes is given by the equation \( b=\frac{1}{4}h \), where \( h \) is the number of bouquets and \( h \) is the number of hours"? Wait, that must be a typo. Wait, probably \( b=\frac{1}{4}h \), where \( b \) is bouquets, \( h \) is hours. Wait, no, if \( b = 6 \), then \( 6=\frac{1}{4}h \), so \( h=24 \)? But that's option E. Wait, but maybe the equation is \( b=\frac{1}{4}h \), no, wait, maybe the equation is \( b=\frac{h}{4} \), so to find \( h \) when \( b = 6 \), we have \( h = 4b \). So \( h=4\times6 = 24 \)? But let's check the options. Option E is 24. Wait, but maybe I misread the equation. Wait, the original problem: "the number of bouquets he makes is given by the equation \( b=\frac{1}{4}h \), where \( h \) is the number of bouquets and \( h \) is the number of hours" – that's a typo. Probably \( b \) is bouquets, \( h \) is hours. So \( b=\frac{1}{4}h \), so \( h = 4b \). So \( b = 6 \), \( h = 24 \). So the answer is E.

Wait, but let's re-express. If \( b=\frac{1}{4}h \), then \( h = 4b \). So \( b = 6 \), \( h = 4*6 = 24 \). So the answer is E.

Answer:

E. 24