Question

Little Benny Franklin has $1.25 all in pennies in a jar. He decides to save 21 pennies every week and add them to the jar. In one year he will have $12.17 in the jar. Which numbers represent the slope and y-intercept?
Responses
A slope = 1.25; y-int. = 21slope = 1.25; y-int. = 21
B slope = 21; y-int. = 1.25slope = 21; y-int. = 1.25
C slope = .21; y-int. = 1.25slope = .21; y-int. = 1.25
D slope = 12.17; y-int. = 1.25

Answer 1

In this scenario, we can model Little Benny Franklin's savings with a linear equation in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

- The y-intercept (\( b \)) represents the initial amount of money Benny has in the jar, which is \( 1.25 \) dollars.

- The slope (\( m \)) represents the rate of saving, which is \( 21 \) pennies per week. To convert this to dollars, since there are 100 pennies in a dollar, the slope in dollars per week is \( \frac{21}{100} = 0.21 \) dollars per week.

Based on this information, the correct numbers that correspond to the slope and y-intercept are:

- Slope = \( 0.21 \) (which is 21 pennies in dollars)
- Y-intercept = \( 1.25 \)

Thus, the correct answer is:

C slope = .21; y-int. = 1.25