Question

QUESTION 1 A puppy named Cricket started out at 4 pounds, and gains 3 pounds every month. At how many months will Cricket weigh 64 pounds?

A) 20 months
B) 18 months
C) 21 months
D) 22 months
Question 2: Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Identify the b, y, m, and x. Write an equation for the water level, L, after d days.
b: The initial water level (34 feet)
y: The final water level after d days
m: The rate of change (-0.5 feet per day)
x: The number of days (d)
Equation: L = 34 - 0.5d

Answer 1

For Cricket the puppy to weigh 64 pounds, it will take 20 months. The equation for the receding water level of a river over a number of days is L = 34 - 0.5d.

Step-by-step explanation:

Calculating Puppy's Weight Over Time

For the puppy named Cricket, we are given an initial weight of 4 pounds and a monthly weight gain of 3 pounds. To find the number of months it will take for Cricket to reach 64 pounds, we can set up the following equation: Weight = Initial Weight + (Weight Gain per Month × Number of Months). Plugging in the values we have:
64 = 4 + (3 × Number of Months)
By subtracting the initial weight from both sides, we get:
60 = 3 × Number of Months
Dividing both sides by 3 yields:
Number of Months = 20.

Writing the Equation for Water Level Change

For the river's receding water level, we are given the initial water level, the final water level after a number of days, the rate of change, and the variable for the number of days. The equation for the water level (L) after (d) days is given by:
L = 34 - 0.5d.