Answer:
a) [tex](x,y) = (3, 7)[/tex] is a solution of the linear equation.
b) The rate of change of the equation is 3.
c) The y-intercept of the equation is -2.
d) Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?
Step-by-step explanation:
a) If [tex](x,y) = (3, 7)[/tex] is a solution of the linear equation, then [tex]f(3) = 7[/tex]. If [tex]x = 3[/tex], then the function evaluated at this value is:
[tex]y = 3\cdot (3) -2[/tex]
[tex]y = 7[/tex]
Hence, [tex](x,y) = (3, 7)[/tex] is a solution of the linear equation.
b) The rate of change of the equation is represented by the slope of the function, which is the constant that multiplies the indepedent variable ([tex]x[/tex]). Hence, the rate of change of the equation is 3.
c) The y-intercept of the equation is the only constant of the equation. Hence, the y-intercept of the equation is -2.
d) A real-world scenario would be the following: Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?
