Mathematics, 27.07.2019 15:30 harh5863

Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. an equation y=mx+b represents dave’s weekly earnings. the y-intercept is dave’s base salary. the slope of the line is his commission. write an equation representing dave’s weekly earnings. if dave sells $1500 of goods for one week, what is his salary for the week? a. $13,000 b. $350 c. $1520 d. $130

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Answers

Dave makes $350

Explanation:
In order to find this answer, we must first establish the equation for his earnings.
We use slope intercept form:
y = mx + b,
where m = slope and b = y-intercept.

Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation to get the following:
y = 0.1x + 200.

Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350.

Answer from: michaellab1

y=0.10x+200

b. $350

Step-by-step explanation:

Let x represent the cost of goods sold by Dave.

We have been given that Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales.

We are asked to write an equation that represents Dave’s weekly earnings in slope-intercept form of equation, where, y-intercept is Dave’s base salary and the slope of the line is his commission.

We know that slope-intercept form of an equation is in format: y=mx+b , where,

m = Slope of line,

b = The y-intercept.

As we have been given that y-intercept is Dave’s base salary, so this means that value of b is 200.

Now, we need to find the slope of our line.

The slope of line will be Dave's commission. This means that slope of line will be 10% of x.

$\text{10\% of x}=\frac{10}{100}x=0.10x$

Upon substituting our given values in slope-intercept form of equation we will get,

y=0.10x+200

Therefore, the equation y=0.10x+200 represents Dave's weekly earnings.

To find Dave's salary we need to substitute x=1500 in our given equation.

$y=0.10\cdot 1500+200$

y=150+200

y=350

Therefore, Dave's weekly salary for the week is $350 and option 'b' is the correct choice.

Answer from: Quest

51-50

step-by-step explanation:

Answer from: Quest

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

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