Answer:
1. a= 1
b=10
c=9
2.y=1/2x-1
3. a) y=3x + 0
b) y=2x+3
c)3
d) $9
Step-by-step explanation:
1. The values in the x-axis increase by 2 hence a=3-2=1 and c=7+2=9. For the y-values, they increase by 1.
2. The equation of the line can be written in the slope form of y=mx+c where m is the gradient of the line and c is the y-intercept
Taking points on the line ; (-2,-2) and (2,0) the gradient m is ;
m=Δy/Δx Δy=0--2=2 Δx=2--2=4 m=2/4⇒1/2
From the graph c= -1
The equation y=1/2x-1
3
(a) Equation representing Layla fees is;
Taking points (1,3) and (2,6) the gradients is
m=Δy/Δx (6-3)/(2-1) = 3/1 =3
Taking m=3, point (1,3) and (x,y) the equation will be;
m=Δy/Δx
3=y-3/x-1
3(x-1) = y-3
3x-3 = y-3
3x-3+3=y
y=3x + 0 ------equation for Layla line
(b) Equation representing Sam line for fees is
Taking points (1,5) and (2,7) where c=3
m=Δy/Δx
m=7-5/2-1
m=2/1 =2
Equation : y=2x+3
c) The point of intersection of the lines which is 3 days
d)The amount is $9
