Question

the graph shows the relationship between the calories needed, y, and the time in days, x, for a person and a sloth.
most people need at least 1,500 calories per day.
how many calories does a sloth need per day?
120
who needs more calories per day?
complete the statement.
a?needs more calories per day.
person
sloth

Explanation:

Step1: Understand the concept of slope in proportional relationship

In a proportional relationship \(y = kx\) (where \(k\) is the constant of proportionality or slope), \(k=\frac{y}{x}\). The slope \(k\) represents the amount of \(y\) per unit \(x\). Here, \(y\) is calories and \(x\) is days. So, the slope of the line gives the calories per day.

Step2: Compare the slopes of the two lines (for person and sloth)

Visually, the steeper the line, the larger the slope. Looking at the graph, the line representing the person is steeper than the line representing the sloth.

Answer:

A person needs more calories per day.