a cat is born (age 0) weighing 3.8 ounces and at 2 years of age the cat weighs 40.8 ounces.
Write answerin slope-intercept form, w=b+ma, in temrs of weight,w, and age,a.
terms*
If a is in years, then you know that when a=0, w=3.8
So, w = 3.8 + ma
Now, what is m? It is the change in w divided by the change in a: 37.0/2 = 18.5
w = 3.8 + 18.5a
Thank you so much @steve
To write the equation in slope-intercept form, which is in the form of y = mx + b, we need to identify the weight (w) as the dependent variable (y) and the age (a) as the independent variable (x).
Given that the cat's weight at age 0 is 3.8 ounces and at age 2 is 40.8 ounces, we can use this information to determine the slope (m) and the y-intercept (b) in the equation.
First, we need to calculate the slope (m) using the formula:
m = (change in y) / (change in x)
The change in weight (change in y) from age 0 (3.8 ounces) to age 2 (40.8 ounces) is:
change in y = 40.8 - 3.8 = 37
The change in age (change in x) from age 0 to age 2 is:
change in x = 2 - 0 = 2
So the slope (m) is:
m = (change in y) / (change in x) = 37 / 2 = 18.5
Now that we have the slope (m), we can determine the y-intercept (b) by substituting the values of a point (age, weight) into the equation:
w = b + ma
Using the point (0, 3.8), we can substitute a = 0 and w = 3.8 into the equation to solve for b:
3.8 = b + 18.5(0)
3.8 = b
Hence, the y-intercept (b) is 3.8.
Finally, we can write the equation in slope-intercept form:
w = 3.8 + 18.5a
Therefore, the equation in terms of weight (w) and age (a) in slope-intercept form is w = 3.8 + 18.5a.