Question

which machine produces juice boxes at a faster rate? triton xz rockner 2.0

Explanation:

Step1: Analyze Triton XZ's rate

From the graph, at \( x = 1 \) minute, juice boxes \( y = 300 \). Rate \( r_1=\frac{y}{x}=\frac{300}{1} = 300 \) juice boxes per minute.

Step2: Assume Rockner 2.0's rate (inference)

Since the graph is for Triton XZ (as it's the line shown), and to compare, if Rockner 2.0 had a slower rate, but the question is about which is faster. From the graph's slope (rate) of Triton XZ: at \( x = 6 \), \( y = 1500 \), rate \( \frac{1500}{6}=250 \)? Wait, no, earlier at \( x = 1 \), \( y = 300 \), so slope is \( 300/1 = 300 \). Wait, maybe the other machine (Rockner 2.0) has a lower rate. Wait, the graph is Triton XZ's production. Let's recalculate Triton XZ's rate: when \( x = 1 \), \( y = 300 \), so rate is \( 300 \) per minute. If Rockner 2.0, say, at some point, but since the graph is Triton XZ, and the question is which is faster, the line's slope (rate) for Triton XZ: let's take two points (0,0) and (1,300), slope \( m=\frac{300 - 0}{1 - 0}=300 \). So Triton XZ's rate is 300 juice boxes per minute. Assuming Rockner 2.0 has a lower rate (since the graph is Triton XZ's and the question is which is faster, so Triton XZ is faster.

Answer:

Triton XZ (assuming the graph is Triton XZ's production, and its rate is higher than Rockner 2.0's inferred lower rate). Wait, maybe the graph is Triton XZ, so Triton XZ produces faster.