Question

question: 35
the graph below represents the number of calories burned for every hour of walking
which of the following statements describe the graph shown above? select abc for any
a. at 0 hours, 120 calories are burned
students (x) have incorrectly read the start
of the graph (x - axis) to be at the point (1, 120)
b. to burn 480 calories, an individual
must walk for 4 hours
correct answer
c. walking burns calories at a rate of
120 calories per hour
correct answer
d. to burn 120 calories, an individual
must walk for 12 hours
students (x) have incorrectly read the graph
at point (12, 1440)

Explanation:

Step1: Find the rate of calories burned

The graph passes through the origin \((0,0)\). Let's use the point \((1,120)\). The rate of change (slope) \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, if \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(1,120)\), then \(m = \frac{120-0}{1 - 0}=120\) calories per hour.

Step2: Check each option

• Option A: At \(0\) hours, \(x = 0\). Using the equation \(y=120x\) (where \(y\) is calories and \(x\) is hours), when \(x = 0\), \(y=0

eq120\).

• Option B: If \(y = 480\), then from \(y = 120x\), \(x=\frac{y}{120}=\frac{480}{120}=4\) hours.
• Option C: As calculated in Step 1, the slope (rate) is \(120\) calories per hour.
• Option D: If \(y = 120\), then \(x=\frac{y}{120}=\frac{120}{120}=1

eq12\) hours.

Answer:

B. To burn 480 calories, an individual must walk for 4 hours; C. Walking burns calories at a rate of 120 calories per hour.