∑ Hey, hughesbillyrobert ⊃
Answer:
<em>y = 0.75x + 9</em>
Step-by-step explanation:
<u><em>Given:</em></u>
<em>A mother gives birth to a 9 pound baby. Every 4 months, the baby gains 3 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx + b that describes the baby's weight.</em>
<em />
<em>y = ________________</em>
<em />
<u><em>Solve:</em></u>
<em>For the equation of the line of the form y = mx + b:</em>
<em>'m' which is the slope of the line </em>
<em>' b' which is the y-intercept and that is the value of y when x is equal to zero. </em>
<em>The slope is the rate of change of y per change in x. </em>
<em>"y" would represent the dependent variable which is the weight of the baby and "x" represents the independent variable which is the number of months or the age of the baby in months. </em>
<em />
<em>At birth represents the beginning of time for the baby. Lets call this month zero. Hence, </em>
<em>x = 0 y = 9 ⇒ at birth</em>
<em> </em>
<em>x = 4 y = 12</em>
<em> </em>
<em>x = 8 y = 15</em>
<em> </em>
<em>x = 12 y = 18</em>
<em />
<em>Now we find the slope between each point. Since the common difference of y is 3 and the common difference in x is 4, the slope will be</em>
<em>Slope = y/x = 3/4</em>
<em>Therefore, the equation of the line that represents this relationship is</em>
<em> </em>
<em>y = (3 / 4)x + 9</em>
<em>y = 0.75x + 9</em>
<em />
<u><em>xcookiex12</em></u>
<u><em></em></u>
<em>8/24/2022</em>
