(13•4) + (3•8) +3 = 79
The total cost is $79
The salesman earns $850 per automobile he sells.
Since x represents the amount of automobiles the salesman sells, we can apply the commission as a coefficient to this variable. Therefore, the total commission that the salesman earns can be represented by $850x.
The bonus cheque is only received if the salesman's commission income is <em>at least </em>$6,800. 'at least' means that the salesman can still receive the cheque if his commission is exactly $6,800. The sign that we can use for this situation is the greater than or equal to sign, ≥.
The inequality that shows the commission income needed for the cheque is $850x ≥ $6,800. However, this question asks for the number of automobiles the salesman must sell to get the cheque.
Divide both sides by $850, as that represents his sales from one commission:
x ≥ 8
The inequality x ≥ 8 represents the amount of automobiles the salesman will need to sell to get the bonus cheque.
Answer:
a.) 13 students
b.) 53 members
Step-by-step explanation:
a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.
b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.
Step-by-step explanation:
Im not sure if its supposed y = -2x + 1 or y = 2x + 1 but I'll solve the problem for both.
First for y = -2x + 1
Since the line has to be parallel to y = -2x + 1
the slopes would be the same.
so, so far the equation would be
y = -2x + b
now we substitute (5,2) into the equation
2 = -2(5) + b
2 = -10 + b (Add 10 to both sides of the equation)
+10 +10
12 = b
Now that we solved for b
The equation would be
y = -2x + 12
^^ This equation is parallel to y = -2x + 1
Now to solve for an equation parallel to y = 2x + 1
Both equations would have the same slope
So far we would have
y = 2x + b
Now we solve for be by substituting the point (5,2)
2 = 2(5) + b
2 = 10 + b (subtract 10 from both sides)
-10 -10
-8 = b
After solving for b
The equation is
y = 2x - 8
This equation is parallel to y = 2x + 1
Five times a minus three in parentheses
