Answer:
a)
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) <em>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?</em>
Step-by-step explanation:
a) If
is a solution of the linear equation, then
. If
, then the function evaluated at this value is:
![y = 3\cdot (3) -2](https://tex.z-dn.net/?f=y%20%20%3D%203%5Ccdot%20%283%29%20-2)
![y = 7](https://tex.z-dn.net/?f=y%20%3D%207)
Hence,
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 (
). 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: <em>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?</em>
Answer:
136 cm^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 12+22) *8
= 1/2 (34) * 8
= 136 cm^2
A = L x W/2
21 x 13 = 273
273/2 = 136.5 cm squared
Hope this helps!