Question
how do I find the x and y-intercepts of the exponential equation y = 99,849.19(1.15)^x
Answers
GPT 3.5
To find the x-intercept of an exponential equation, you need to set y = 0 and solve for x. To find the y-intercept, you need to set x = 0 and solve for y.
1. To find the x-intercept:
Set y = 0:
0 = 99,849.19(1.15)^x
Divide both sides by 99,849.19:
0 = (1.15)^x
Since anything raised to the power of 0 is 1, the x-intercept occurs when x = 0.
2. To find the y-intercept:
Set x = 0:
y = 99,849.19(1.15)^0
y = 99,849.19 * 1
y = 99,849.19
Therefore, the y-intercept is at the point (0, 99,849.19) for the exponential equation y = 99,849.19(1.15)^x.
1. To find the x-intercept:
Set y = 0:
0 = 99,849.19(1.15)^x
Divide both sides by 99,849.19:
0 = (1.15)^x
Since anything raised to the power of 0 is 1, the x-intercept occurs when x = 0.
2. To find the y-intercept:
Set x = 0:
y = 99,849.19(1.15)^0
y = 99,849.19 * 1
y = 99,849.19
Therefore, the y-intercept is at the point (0, 99,849.19) for the exponential equation y = 99,849.19(1.15)^x.