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? 80 120 240 1,500

Explanation:

Step1: Find the slope for the sloth's line

The slope formula for a proportional relationship \(y = kx\) (where \(k\) is the constant of proportionality, which represents calories per day here) is \(k=\frac{y}{x}\). From the graph, when \(x = 50\) days, \(y = 6000\) calories.

$$k=\frac{y}{x}=\frac{6000}{50}$$

Step2: Calculate the value of \(k\)

$$k = 120$$

Answer:

120