pennies are kept in a jar the mass of the jar is 20 g the mass of each panny is 5g le t the varible p represent the total mass of and the jar. let the variable n represent the number og pennys.
1a. write an equation that represent the relation ship between mass p and n pennies
1b. what is the slope and y-intercept
To write an equation that represents the relationship between the mass (p) and the number of pennies (n), we can start by setting up a simple equation.
Since each penny has a mass of 5g, the total mass of the pennies can be represented as the product of the number of pennies (n) and the mass of each penny (5g):
Total mass of pennies (p) = Number of pennies (n) * Mass of each penny (5g)
Therefore, the equation representing the relationship is:
p = 5n
Now, let's determine the slope and y-intercept of this equation.
The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Comparing this equation to our given equation p = 5n, we can see that the coefficient of n is 5, which corresponds to the slope (m) of the line.
So, the slope of the line is 5.
In this case, there is no y-intercept. The y-intercept represents the point where the line intersects the y-axis when x = 0. However, in our equation, when n = 0, p also equals 0, meaning the line passes through the origin (0,0). As a result, there is no separate y-intercept value.
In summary, the slope of the equation p = 5n is 5, and there is no distinct y-intercept.