Answer:
F(f) = 15t + 35 represents the total amount of savings your friend would make in t weeks.
F(d) = 10t + 90 represents the total amount of saving you, darian, would make in t weeks.
When you graph the equations, plugging in different values for t, you can see that the graphs intersect at (11,200). This means that at 11 weeks, both you and your friend have the same amount of money saved up, $200. They will not have the same amount of money in 10 weeks.
Answer:
27 miles
Step-by-step explanation:
1cm is 6 miles,
4.5cm is ?miles
?=6*4.5/1=27
2 gophers per day are getting removed
Constants are numbers alone with no variables.
The constants are: 12, -3.7, 1/3
a) Remember that the y-intercept of a exponential function
is
, so the only thing to do to find the y-intercept in our functions is evaluate it at t=0:
We can conclude that the y-intercept of our function is (0,50), and it represents the initial bacteria population in the sample.
b) To find if the function is growing or decaying, we are going to convert its decimal part to a fraction. Then, we will compare the numerator and the denominator of the fraction. If the numerator is grater than the denominator, the function is growing; if the opposite is true, the function is decaying.
Remember that to convert a decimal into a fraction we are going to add the denominator 1 to our decimal and then we'll multiply both of them by a power of ten for each number after the decimal point:
Now we can rewrite our exponential function:
Since the numerator is grater than the denominator, it is growing faster than the denominator; therefore the function is growing.
c) The only thing we need to do here is evaluate the function at t=5:
We can conclude that after 5 hours <span>Dr. Silas began her study will be 268.9 bacteria in the sample.</span>
