Question

After birth, a baby's weight increased at a steady rate for several weeks

A linear model of this situation contains the values (1.7.6) and (11. 10.6), where x represents the number of weeks, and y
represents the baby's weight, in pounds.
What was the baby's weight at birth?
A 7.3 pounds
B. 7.6 pounds
C. 0.3 of a pound
D. 10 pounds

Answer 1

To find the baby's weight at birth, we need to find the equation of the linear model using the given values (1, 7.6) and (11, 10.6).

Step-by-step explanation:

In order to find the baby's weight at birth, we need to find the equation of the linear model using the given values (1, 7.6) and (11, 10.6). The equation of a linear model is in the form y = mx + b, where m is the slope and b is the y-intercept. We can use the first point (1, 7.6) to find the y-intercept.

Using the formula y = mx + b and plugging in x = 1, y = 7.6, we can solve for b:

7.6 = m(1) + b

Next, we can use the second point (11, 10.6) to find the slope. Using the formula y = mx + b and plugging in x = 11, y = 10.6, and b = the value we found in the previous step, we can solve for m:

10.6 = m(11) + (the value we found for b)

Solving these equations will give us the values of m and b, which will allow us to find the baby's weight at birth by plugging in x = 0 into the equation y = mx + b.