Joseph earns $15 for every lawn he mows. Is the amount of money he earns proportional to the number of lawns he mows? Make a tab
le to help you identify the relationships
2 answers:
Given that Joseph earns $15 for every lawn he mows.
so if he mows lown 1 time then his earning = $15
if he mows lown 2 time then his earning = $15*2= $30
if he mows lown 3 time then his earning = $15*3= $45
if he mows lown 4 time then his earning = $15*4= $60
if he mows lown 5 time then his earning = $15*5= $75
So the required table will be:
From the table we can see that Joseph's earning increases by $15 each time so we can say that YES, the amount of money he earns proportional to the number of lawns he mows.
<h2>Answer with explanation:</h2>
It is given that:
Joseph earns $15 for every lawn he mows.
If x denotes the number of lawns he mow.
and y denotes his earnings.
Then the equation which is obtained on the basis of this information is:
Also, the table of values is given as follows:
Number of lawn mowed 1 2 3 4
Earnings($) 15 30 45 60
Yes, the amount of money he earns is proportional to the number of lawns he mows.
Since, with each increase in the number of lawns he mowed, his earnings are also increasing by a constant rate.
Hence, the relationship is a direct variation.
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Answer:
the point is (3, 3) . . . . . . y = 3
Step-by-step explanation:
Write the point-slope equation of the line through the point you know. Then evaluate that equation for x=3 to see what the value of y is.
Point-slope form:
y = m(x -h) +k . . . . slope m through point (h, k)
y = -1/2(x -9) +0 . . . . line with slope -1/2 through point (9, 0)
For x=3, the value of y is ...
y = -1/2(3 -9) + 0 = -1/2(-6) = 3
The value of y is 3.
Answer:
y = x + 46
Step-by-step explanation:
When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, choose two pairs of coordinates to use for solving the slope of the line:
Let (x1, y1) = (0, 46)
(x2, y2) = (1, 47)
User the following formula for slope
Plug in the values of the coordinates into the formula:
Therefore, the slope (m) = 1.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.
Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:
y = x + 46
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