Lucy earns money babysitting. Her earnings and hours worked represent a direct variation. She worked for 4 hours and earned $25. Determine the constant of proportionality for hours worked per dollar earned.
;D
hr = k d
4 hr = k * 25 dollars
k = 4/25 = 16/100 = 0.16 hours/dollar
===========================
check
25 dollars * .16 hours/ dollar = 4 hours, good, we got it.
what if it was dollars earned per hour worked??
Determine the constant of proportionality for hours worked per dollar earned.
so 4hr= $25= 0.16
so how do you Determine the constant of proportionality for hours worked per dollar earned.
Oops wrong Question how many dollars per hour what type of equation.
Bleep Bloop
Error Eror
dollars per hour is 6.25, it just got graded, got a 100%
i am confused
To determine the constant of proportionality for hours worked per dollar earned, you can use the formula for direct variation:
y = kx
where y is the dependent variable (earnings), x is the independent variable (hours worked), and k is the constant of proportionality.
In this case, Lucy worked for 4 hours and earned $25. We can plug these values into the formula:
25 = k * 4
To solve for k, we need to isolate it on one side of the equation. We can divide both sides of the equation by 4:
25/4 = k
Simplifying the right side:
k = 6.25
Therefore, the constant of proportionality for hours worked per dollar earned for Lucy is 6.25. This means that for every hour Lucy works, she earns $6.25.