16<2(3x-1)<28 divide all terms by 2
8<3x-1<14 add 1 to all terms
9<3x<15 divide all terms by 3
3<x<5
x=(3,5) in interval notation
On a number line, it would be a line segment from 3 to 5 with open circles at 3 and 5.
On a coordinate system graph, it would be an infinitely high shaded plane between the vertical lines x=3 and x=5
The graph is a linear graph
The equation of a linear graph is given in the form

where

is the gradient and

is the y-intercept
To find gradient:
Choose any two coordinates that lie on the line.
We choose (4,7) and (0, 10)


the graph crosses the y-axis at 10, so the value of

Forming the equation

Answer: D
19500 times because
5 times 26 = 130 (how many minutes)
and
now just multiply how many minutes (130) times how many heart beats per minute (150) to get 19500
A) y=9-6x, standard form is ax+by=c so add 6x to both sides
6x+y=9
b) from the first, we had it in slope intercept form, mx+b where b is the y-intercept. y=-6x+9
So the y-intercept is the point (0,9) which represents the starting distance before you start biking. You start being 9 miles from your house.
c) The x intercept occurs when y=0 so:
y=9-6x, so if y=0
0=9-6x
6x=9
x=9/6
x=1.5
This represent the time when you will arrive home and the total time that has elapsed to get there.