<h3>
Answer:</h3>
For each birdhouse built, the total cost increases by $3.50.
<h3>
Step-by-step explanation:</h3>
Let's try some of the answers and see if they work.
The "initial cost" will be the cost when 0 birdhouses are built.
... f(0) = 3.5·0 +24 = 24 . . . . . clearly, not $3.50
Then increasing the number of birdhouses by 1, the cost is ...
... f(1) = 3.5·1 +24 = 27.5 . . . . . the cost has gone up (not down) by $3.50
Clearly the total cost to build 1 birdhouse is not $3.50. (It is $27.50.)
___
Our exploration of the formula leads us to conclude ...
... For each birdhouse built, the total cost increases by $3.50.
Answer:
6s
Step-by-step explanation:
1. 2s-(-4s)
2. 2s+4s
3. 6s
Answer:
slope = - 6, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
0 = 2x -
+
y ( multiply through by 3 to clear the fractions )
0 = 6x - 5 + y ( subtract 6x - 5 from both sides )
- 6x + 5 = y , that is
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6 and y- intercept c = 5
We have that
y = 2(0.45)^x
in this problem
2-----------> is the Coefficient
0.45-------> is the Base
<span>x-----------> is the Exponent
we know that
</span><span>If
the base is less than 1 (but always greater than 0), the function will be
exponential decay
</span>It is decay because as x values
increase, y values decrease.
<span>0.45 < 1 and 0.45 > 0
therefore
the equation
</span>y = 2(0.45)^x
represents <span>exponential
decay
</span>
the answer is
exponential decay<span>
</span>