Question

multiple choice 5 points
sarah walked 1 mile yesterday. today she will walk at a rate of 3 miles per hour. which graph shows her two - day total walking distance, d, based on the number of hours, h, that she spends walking today?

Explanation:

Step1: Analyze yesterday's walk

Sarah walked 1 mile yesterday.

Step2: Analyze today's walk

Today, her speed is 3 miles per hour, so the distance \( d \) she walks today is \( d = 3h \), where \( h \) is the number of hours.

Step3: Total distance

The total distance \( D \) for two days is \( D = 1 + 3h \).

Step4: Identify the graph

The graph should have a y - intercept (when \( h = 0 \)) of 1 (from yesterday's 1 mile) and a slope of 3 (from today's speed). Looking at the given graph (even though it's partially visible, we assume the correct graph has a y - intercept of 1 and slope 3. But since the question is about which graph, and from the context, if we consider the total distance function \( d=1 + 3h \), when \( h = 0 \), \( d = 1 \), and as \( h \) increases, \( d \) increases with slope 3. But maybe the graph in the problem (the one shown) has a starting point or we re - evaluate. Wait, maybe the question is to find the distance she walks today, but the original question is a bit unclear. Wait, the user's question is about which graph, but the options are not fully shown. Wait, maybe the correct approach is:

Wait, the problem says "Sarah walked 1 mile yesterday. Today she will walk at a rate of 3 miles per hour. Which graph shows her two - day total walking distance, \( d \), based on the number of hours, \( h \), that she spends walking today?"

So the total distance function is \( d=1 + 3h \). This is a linear function with slope 3 and y - intercept 1.

If we assume the graph options, the correct graph should have a y - intercept of 1 (when \( h = 0 \), \( d = 1 \)) and a slope of 3.

But since the user's image has a graph with a point at (0,3) maybe? Wait, no, maybe I misread. Wait, the original problem's graph (the one in the image) has a line starting at (0,3)? No, the x - axis is \( h \) (hours) and y - axis is \( d \) (distance). Wait, maybe the correct graph is the one that represents \( d=1 + 3h \). But since the user's question is a multiple - choice with a graph, and we need to identify it. But maybe the answer is related to the graph with slope 3 and y - intercept 1. But since the options are not fully provided, but from the context, if we consider the total distance, the function is \( d = 3h+1 \), so the graph should have a y - intercept of 1 and slope 3.

Answer:

(Assuming the correct graph is the one with equation \( d = 3h + 1 \), so the graph with y - intercept 1 and slope 3. If the options are given as graphs, the correct graph is the one that represents the linear function \( d=1 + 3h \))