Suppose that a bike rents for 50php plus 8php per hour. Write an equation in slope-intercept form that models this situation.

C(x) = (8 php)*x + 50 php.

Step-by-step explanation:

In a linear equation:

y = a*x + b

a is the slope.

x is the variable

b is the y-intercept.

In this case, we have

The rent is 50 php fixed, plus 8 php per hour.

Then we will pay the 50php only one time, and it does not depend on the number of hours that we rent, then this is the y-intercept.

then if we rent the bike for x hours, we will pay a plus of x*8 php.

Then the total cost for x hours, C(x), will be

C(x) = (8 php)*x + 50 php.

Then the slope is 8 php, and the y-intercept is 50 php.

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240