Question

1. the figure in each step is created using blocks. the number of blocks needed to create each figure follows a pattern and forms a sequence. a. describe the pattern in words. (1 point) b. write an explicit formula for the sequence. (1 point) 5. a baby elephant can weigh between 200 - 300 pounds at birth, making them the largest baby animals on land. the weight the baby gains daily over the first 6 months of its life can be modeled by a linear relationship. the equation y = 2x+239 models the weight in pounds, y, of a baby elephant x days after it was born. a. how much did the baby elephant weigh at birth? explain. (2 points) b. according to the model, how much weight does the elephant gain per day? explain. (2 points)

Explanation:

Step 1: Analyze the linear - equation form

The linear equation for the weight of the baby elephant is $y = 2x+239$, where $y$ is the weight in pounds and $x$ is the number of days after it was born. In the slope - intercept form of a linear equation $y = mx + b$ ($m$ is the slope and $b$ is the y - intercept).

Step 2: Determine the daily weight gain

The coefficient of $x$ in the linear equation $y = 2x + 239$ represents the rate of change of the weight with respect to the number of days. So, the baby elephant gains 2 pounds per day.

Step 3: Find the birth weight

When $x = 0$ (at birth), we substitute $x = 0$ into the equation $y=2x + 239$. Then $y=2\times0 + 239=239$ pounds.

Answer:

a. The baby elephant weighs 239 pounds at birth. This is because in the linear equation $y = 2x+239$, when $x = 0$ (the day of birth), $y=239$.
b. The baby elephant gains 2 pounds per day. This is because the coefficient of $x$ in the linear equation $y = 2x + 239$ represents the daily rate of weight - gain.