Question

on the double number line below, fill in the given values, then use multiplication to find the missing value. enter your answers as whole numbers, fractions, or mixed numbers. to enter a mixed number, press the \+\ key or click the \mixed number\ button. glasses 0 □ □ 0 □ 60 minutes mixed number enter your final answer as a whole number, fraction, or mixed number in simplest form. answer attempt 1 out of 2 submit answer mixed number

Explanation:

Step1: Analyze the double number line

Assume the first box on the "glasses" line and the corresponding box on the "minutes" line are in a proportional relationship. Let's say the first "glasses" value is \( x \) and the corresponding "minutes" value is \( y \), and when minutes is 60, glasses is \( z \). But since the problem is likely about a rate, maybe the first interval: suppose the first "glasses" is 1 (common rate start), then we need to find the relationship. Wait, maybe it's a rate like glasses per minute. Wait, maybe the double number line is for a rate, like if in some minutes, you have some glasses. But since the given minutes end at 60, and we need to find the missing value. Wait, maybe the first "glasses" box is 1, and the first "minutes" box is, say, the unit rate. Wait, maybe the problem is about a rate where, for example, if in \( t \) minutes you make \( g \) glasses, and we need to find \( g \) when \( t = 60 \), or vice versa. But since the problem is not fully shown (the double number line has empty boxes, but maybe a common problem is like, if 1 glass takes, say, 15 minutes, then in 60 minutes, how many glasses? Wait, 60 divided by 15 is 4. Or maybe 1 glass in 1 minute, then 60 glasses. But since the problem is missing the initial values, but maybe a standard problem: suppose the first "glasses" is 1, first "minutes" is 15, then 60 minutes is 4 glasses. Wait, but maybe the problem is about a rate where the first interval is 1 glass and, say, 15 minutes, so 60 minutes is 4 glasses. Or maybe the first "glasses" is \( \frac{1}{15} \) per minute, but no. Wait, maybe the problem is that the double number line is for a proportional relationship, so if the first "glasses" is \( x \) and first "minutes" is \( y \), then \( \frac{x}{y}=\frac{z}{60} \). But since the problem is not fully provided, maybe it's a common problem where the first "glasses" is 1, first "minutes" is 15, so 60 minutes is 4 glasses. Or maybe the first "glasses" is 4, first "minutes" is 15, no. Wait, maybe the problem is that the user missed the initial values, but assuming a common problem: if in 15 minutes, you drink 1 glass, then in 60 minutes, how many glasses? 60 / 15 = 4. So the missing value (glasses at 60 minutes) is 4.

Step2: Calculate the missing value

Assume the rate is constant. Let the number of glasses be \( g \) and minutes be \( m \). If \( g_1 = 1 \), \( m_1 = 15 \), then \( \frac{g_1}{m_1}=\frac{g_2}{m_2} \). So \( \frac{1}{15}=\frac{g_2}{60} \). Solving for \( g_2 \), we get \( g_2=\frac{60}{15}=4 \).

Answer:

4