Problemas
Frank deposits 200 in an account that earns simple interest at an annual rate of 5% The amount in the account, y (in dollars), after x years is given by the following equation. y=10x+200 Complete the parts below. (a) Graph the line y=10x+200
Roztwór
Jorge
professionell · Tutor durante 6 años
4.4
(198 Votos)
Respuesta
To graph the line
, we can start by plotting the y-intercept, which is the point where the line crosses the y-axis. In this case, the y-intercept is 200, so we can plot the point (0, 200) on the graph.Next, we can use the slope of the line to determine the direction of the line. The slope is the coefficient of x in the equation, which is 10 in this case. This means that for every 1 unit increase in x, the value of y increases by 10 units.Using this information, we can plot additional points on the graph by starting at the y-intercept and moving 1 unit to the right and 10 units up. For example, if we move 1 unit to the right from the y-intercept, we will land on the point (1, 210). Similarly, if we move 2 units to the right, we will land on the point (2, 220), and so on.Once we have plotted several points, we can connect them with a straight line to complete the graph of the line
.The graph of the line
will be a straight line that passes through the points (0, 200), (1, 210), (2, 220), and so on. The line will have a positive slope of 10, indicating that the value of y increases by 10 units for every 1 unit increase in x.