1) interpret the equation y=-4x+10 what type of function does this equation to find describe its graph.
2) the equation of a function is y=2x-6 if this function graphed when it’s y-intercept B
3) use the table to answer the question x 4 6 y 38 58 write the equation of the linear function that models the relationship shown on the table
4)oliwia is opening a bank account. She learns that there is a special promotion where if she deposits $3000 then makes no additional deposits or withdrawals. Her account will earn three dollars in interest per month write the equation of a linear function that models, the relationship between number of months and total amount of money oliwia will have in her account
5) use the image to answer the question (-1,4) (1,0) write the equation of the linear function shown on the graph
1) The equation y = -4x + 10 represents a linear function. The graph of this equation will be a straight line.
2) The y-intercept of the function y = 2x - 6 is -6. The point where the graph intersects the y-axis is at (0, -6).
3) To find the equation of the linear function, we can use the formula for the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
From the table, we can find the slope by using the formula: m = (change in y) / (change in x)
m = (58 - 38) / (6 - 4) = 20 / 2 = 10
Thus, the slope is 10.
Since the y-intercept is not given in the table, we can substitute one of the given points into the slope-intercept form to find it. Let's use the point (4, 38):
38 = 10(4) + b
38 = 40 + b
b = -2
Therefore, the equation of the linear function that models the relationship shown in the table is y = 10x - 2.
4) The equation of the linear function that models the relationship between the number of months and the total amount of money Oliwia will have in her account can be written as y = 3x + 3000. The $3000 initial deposit is represented by the y-intercept, and the interest of $3 per month is represented by the slope.
5) To find the equation of the linear function shown on the graph, we need to first calculate the slope (m) using the formula: m = (change in y) / (change in x).
m = (0 - 4) / (1 - (-1)) = -4 / 2 = -2.
Next, we can substitute one of the given points into the slope-intercept form y = mx + b. Using the point (1, 0):
0 = -2(1) + b
0 = -2 + b
b = 2.
Therefore, the equation of the linear function is y = -2x + 2.