The table shows the amount of money that Bradford saved in his savings account after different amounts of time.
2 answers:
Nice of you to offer 50 points
the constant of proportinality is the sloep or
x is independent variable and y is dependent variable
the independent variable influences the value of the dependent variable
in this case, the number of months influences the amount of money saved
to find the slope, you do
x=number of months
y=amount
we have
4months, $50
8 months, $100
18 months, $225
or
(x,y)
(4,50)
(8,100)
(18,225)
we can compare
the slope between the points (a,b) and (c,d) is
(d-b)/(c-a)
we can take the slope between any 2 points (assuming the slope is the same, which it is)
(4,50) and (8,100)
slope=(100-50)/(8-4)=50/4=25/2=12.5
the slope is 12.5
2nd option is the answer
the constant of proportinality is the sloep or
x is independent variable and y is dependent variable
the independent variable influences the value of the dependent variable
in this case, the number of months influences the amount of money saved
to find the slope, you do
x=number of months
y=amount
we have
4months, $50
8 months, $100
18 months, $225
or
(x,y)
(4,50)
(8,100)
(18,225)
we can compare
the slope between the points (a,b) and (c,d) is
(d-b)/(c-a)
we can take the slope between any 2 points (assuming the slope is the same, which it is)
(4,50) and (8,100)
slope=(100-50)/(8-4)=50/4=25/2=12.5
the slope is 12.5
2nd option is the answer
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Answer:
Step-by-step explanation:
The slope-intercept form is y = mx + b, where:
m = slope
b = y-intercept.
The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope . So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).
Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:
(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).
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