When the graph intersects the y-axis, it means it's x-coordinate is 0, or t = 0.
Hence, f(t) = 6 × 2^0 = 6.
y = 6 at y-intercept.
Step-by-step explanation:
t1 = 1 = 7*1 - 6
t2 = 8 = 7* 2 - 6
t3 = 15 = 7 * 3 - 6
t4 = 22 = 7 *4 - 6
t5 = 29 = 7 * 5 - 6
-------------------------
Tn = 7n - 6
Answer:

Step-by-step explanation:
Let
x----> the temperature in degrees Fahrenheit
y ---->insect chirping rate in times per minute
we have the ordered pairs
(82,61) and (91,124)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line
we know that
The equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have
---> the units are chirps per minute/degree F
take the point (82,61)
substitute and solve for b



substitute

Answer:
1.
ft 2.
yards 3.
units.
Step-by-step explanation:
Pythagorean's Theorem 
A and b are both side lengths, c is the hypotenuse.
7^2 + 5^2 = 74
sqrt(74) is the answer for 1.
30^2 - 5^2 = 875
Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.
There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.