% means 'parts out of 100' so
25%=25/100
is 12 is 25 parts out of 100 of a number
so 12=(25/100)x
25/100 simplifies to 1/4
or if 12=(1/4)x
we multiply both sides by 4 and get
48=1x
Part A:
Express the given number of hours and velocities of the cyclist as ordered pairs. The time (number of hours) can be our abscissa (x-coordinate) and the velocities can be our ordinate (y-coordinate). The coordinates are therefore (2, 18) and (4, 4). The equation that can be formed in this is established through the two-point equation.
(y - y₁) = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)
Substitute the known variables.
(y - 18) = ((4 - 18)/(4 - 2))(x - 2)
Simplifying the equation,
y - 18 = -7(x - 2)
y = -7x + 32
<em>ANSWER: y = -7x + 32
</em>Part B: This can be graph in the Cartesian plane and numbers 1 to 8 can be substituted to y and take note of the ordered pairs for each point. The slope of the line should be -7 and the y-intercept is 32.<em>
</em>
<span>Because you have changed the sign of the divisor as part of setting up the synthetic division.
The whole point of changing the divisor's sign is allow addition (which is easier) instead of subtraction.</span>
