PLEASE HELP I WILL NAME YOU BRAINLIEST AND SUGGEST TO ALL MY FRIENDS TO SAY THANKS AND SAY YOU WERE BRANLIEST The amount Lin’s sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. Express fractions in the form a/b if necessary.

a. Complete the equation in the form y=kx to describe this situation, where x represents the hours she works and y represents the dollars she earns.

y =
x

b. Is y a function of x? Type yes or no.

c. Complete the equation describing x as a function of y.

x =
y

y is a function of x, because for each input x there is only one output y. (It doesn't work backwards. x is not a function of y. not sure if you needed that but there it is!)

The equation would be

y=9.60x

where y is the amount Lin's sister earns and x is the amount of hours she works

i think this is correct pls mark brainliest

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet