Question

the weight, in pounds, of a newborn baby t months after birth can be modeled by the equation w = 1.75t + 6. what is the slope of the equation and what is its interpretation in the context of the problem?
answer
the slope of the function is \boxed{} which represent
the weight of the baby at birth
the number of pounds the baby gains per week
the number of pounds the baby gains per month
the total weight gain of the baby

Explanation:

Step1: Identify slope form

The equation $W = 1.75t + 6$ follows the linear form $y = mx + b$, where $m$ is the slope.

Step2: Match to given equation

Here, $m = 1.75$, and $t$ represents months after birth.

Step3: Interpret slope context

The slope is the rate of change of weight with respect to time (months).

Answer:

The slope of the function is $1.75$ which represents the number of pounds the baby gains per month