An algebraic expression is a phrase in mathematics that consists of numbers such as 1,2,3 and the like, variables which are represented with letters and operations like addition, multiplication, subtraction and division. It is usually used to represent a certain situation which would relate the variables involved. To write the algebraic expression for the problem statement above, we do as follows:
Let x = number of consoles to be bought
y = number of games to be bought
z = number of controllers to bebought
C = total cost of all
The total cost would be equal to the sum of the price multiplied by the number of consoles, games and controllers bought. We write the algebraic expression as follows,
C = 299x + 59.99y + 29.99z
1762 feet would be 2 feet more. There are 5280 in a mile, divide that by three and get 1760 feet.
A. Finding the slope
The slope of the function is simply the ratio of the value
of the dependent variable over the independent variable, so in this case it is:
slope = 6/ 3 = 2
B. Finding the y – intercept
The y – intercept is simply the value of the dependent
variable when the independent variable is equal to zero, therefore:
y – intercept (b) = 4
C. Finding the function of the graph
The general equation of a line is given as:
y = m x + b
where m is the slope and b is the y intercept therefore:
y = 2 x + 4
D. Finding the x – intercept
The x – intercept is simply the value of the independent
variable (x) when the dependent variable (y) is equal to zero, therefore:
0 = 2 x + 4
x = - 2
E. Graph the function
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