Question

output: height in feet input: time in seconds slope = change in height / change in time units of the slope = feet / second = ft/sec what is the meaning of a slope is - 5? the height is decreasing at a rate of 5 feet per second. what is the meaning of a slope of 8? question the equation p = 31 + 1.75w models the relation between the amount of tuyets month water bill payment, p, in dollars, and the number of units of water, w, used. interpret the p - intercept of the equation. select the correct answer below: the p - intercept, 1.75, means that tuyets monthly water bill payment would be 1.75 dollars if he used no water. the p - intercept, 31, means that tuyets monthly water bill payment would be 31 dollars if he used no water. the p - intercept, 31, means that tuyets monthly water bill payment would be 31 dollars if he used 31 units of water. the p - intercept, 1.75, means that tuyets monthly water bill payment would be 1.75 dollars if he used 1.75 units of water.

Explanation:

Step1: Recall the concept of y - intercept

In the linear equation $y = mx + b$, $b$ is the y - intercept. Here, the equation is $P=31 + 1.75w$, where $P$ is like $y$ and $w$ is like $x$.

Step2: Find the value of $P$ when $w = 0$

Substitute $w = 0$ into the equation $P=31 + 1.75w$. We get $P=31+1.75\times0=31$. This means when the number of units of water $w = 0$ (no water is used), the water - bill payment $P$ is 31 dollars.

Answer:

The $P$-intercept, 31, means that Tuyet's monthly water bill payment would be 31 dollars if he used no water.