Question

linear equations
part 1 of 3 1 2 3 trying to earn
a block of dry ice is taken out of the freezer and is evaporating. from a starting weight, the block lost weight at a constant number of grams per minute. the following graph shows the weight of the block after taking it out of the freezer.
question 1: what was the initial weight (to the nearest ten grams)?
enter the number without units:
question 2: how fast is the weight dropping (to the nearest ten grams per minute)?
enter the number without units:
question 3: if the weight were dropping faster (choose as many as fit)

• the line would be flatter
• the line would be steeper
• the intercept on the vertical axis would be lower
• the intercept on the vertical axis would be higher

question 4: if the initial weight were higher (choose as many as fit)

• the line would be flatter
• the line would be steeper
• the intercept on the vertical axis would be lower
• the intercept on the vertical axis would be higher

Explanation:

Step1: Identify initial weight (t=0)

The y-intercept (x=0) is 700 grams.

Step2: Calculate weight loss rate

Use two points: (0,700) and (3,610). Rate = $\frac{610-700}{3-0} = \frac{-90}{3} = -30$ grams/min (negative means loss, so 30 g/min).

Step3: Analyze faster weight drop

A faster rate means a steeper downward slope; intercept (initial weight) doesn't change.

Step4: Analyze higher initial weight

Higher initial weight raises the vertical intercept; slope (weight loss rate) stays the same.

Answer:

1. 700
2. 30
3. The line would be steeper
4. The intercept on the vertical axis would be higher