Matt is having a lemonade stand and he needs $60 for a school fundraiser. he already has $25, but he needs more. If hes selling lemonade for $0.50 each cup, write an equation that shows how much money he needs to get at least $60.
i dont know if you mean less than or greater than, or less than or equal to so sorry and i also dont know if this is right, but i hope it helps sorta :)
The answer is <span>25; it represents the hourly wage for the worker
</span>
<span> y = 8x + 25
x is hours
y depends on x hours so y-intercept represent the hourly wage.
The y-intercept is y when x = 0:
y = 8x + 25
x = 0
____
y = 8 * 0 + 25
y = 0 + 25
y = 25</span>
First, I would simplify the given equation to find the slope of the parallel line as it will be the same for the line we are looking for.
3y=x+12
y=(x/3)+4
Slope= 1/3
Our equation now looks close, but we need the intercept.
y=(x/3)+B
Plug in the given point to find the intercept.
3=(-1/3)+B
4/3=B
Plug all the known values into the equation to complete the slope-intercept form.
y=(x/3)+4/3
Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)
The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.


We can then find the exact value of the sum:




So the answer is B.