12(2x - 8) = 15
12(2x) - 12(8) = 15
24x - 96 = 15
<u> + 96 + 96</u>
<u>24x</u> = <u>111</u>
24 24
x = 4.625
Maddie :
(1,100),(2,80)
slope (rate of change) = (80 - 100) / (2 - 1) = -20/1 = -20
Caitlin :
y = -18x + 120......slope (rate of change) = -18
To determine which rate of change is greater, take the absolute value of the slopes.
Maddy : | -20 | = 20
Caitlin : | -18 | = 18
the greater rate of change is the one with the larger absolute value....so that would be Maddy...function 1 shows a greater rate of change because Maddie spends 20 each month and Caitlin spends 18 each month
Question:
Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2
Answer:
Part a: 
Part b: 
Part c: 
Part d: 
Explanation:
Part a: Substituting
, we get,


The value of
is less than 
Thus, 
Part b: Substituting
, we get,


The value of
and
are equal.
Thus, 
Part c: Substituting
, we get,


The value of
is less than 
Thus, 
Part d: Substituting
, we get,


The value of
is less than 
Thus, 
0.4% / 100 =0.004
0.004 x 82.1 = 0.3284