The equation provided in slope-intercept form is 226.50 = 7.5 (25) + 39. Step-by-step explanation: The slope-intercept form of an equation is represented by y = mx + c. The hourly cost of boat rental is $25. Assuming a one-time cleaning fee of k, and with the boat rented from 11 am to 6:30 pm, the total hours of use amount to 7.5 hours. Consequently, the rental cost for those 7.5 hours becomes 7.5 multiplied by $25, equating to $187.50. The total sum paid by the family amounts to $226.50, which equals the cleaning fee plus the 7.5-hour rate. Thus, the cleaning charge comes to $226.50 - $187.50 = $39. The equation presented reflects this relationship.
This equation can be solved with two solutions, corresponding to
and
.
Y = 3bx - 7x
y = x(3b - 7)
Assuming 3b - 7 ≠ 0, divide both sides by 3b - 7.
Solution:
The required scale for the map is 4 inches. To fit the brochure, we start from the given dimensions: the length of the rectangular park is 4 inches and the breadth is 6 inches. The area can be calculated with the formula for the area of a rectangle: Area = length × breadth, which results in 24 square inches. To achieve the desired area of 6 square inches, we determine the necessary scale as 24 divided by 6, yielding 4 inches.
