We are asked in this problem to determine the expression of an exponential function given the data above. The standard form of an exponential function is expressed as y = a^x + b was a is the base constant and b is another constant. In this case, a is given to be equal to 1/2. since the graph is said to be shrunk down to 3/4 then the initial expression would have to be y = 3/4*(1/2)^x + b. b is determined through the given asymptote in the problem. An asymptote is an axis or the line in which the graph approaches but never touches. b is equal to -4. In this case, the overall expression is y = 3/4 *(1/2)^x - 4.
Answer:
y = 2x - 1
Step-by-step explanation:
Here we have the slope, m = 2, and one point on the line, (2, 3). Plugging these values into the point-slope formula y - k = m(x - h), we get:
y - 3 = 2(x - 2), or y = 3 + 2x - 4, or y = 2x - 1 in slope-intercept form.
Answer:
Cone volume = [PI * radius ^ 2 * height] / 3 therefore,
Cone height = [3 * Cone Volume] / (PI * radius^2)
Step-by-step explanation:
Two trips a day for 5 days = 10 trips
(3/10)(10)= 3 miles
