Using Pythagorean’s theorem, the side length is sqrt(89)
The equation would be y = 25x + 50
In order to find this equation, we need to know how much the gift from her grandparents was. To do so, we have to find out how much she's saved from dog walking.
Since she saves $25 a month for 7 months, we can find the total amount as:
25*7 = 175
Then we can subtract that from the total she has saved to find the amount for the gift.
225 - 175 = 50
Finally, we put the amount per month in the equation with the gift as the y intercept to create the equation above.
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours
<h3>
Answer: Rs 25</h3>
Explanation:
Each pencil has a profit of Rs 1.25 since 
Multiply that result with 20 to get the final answer shown above in bold.
