Veronica typically sells a
maximum of 30 pounds of berries but could also sell 10 pounds in the least.
Therefore, the PRACTICAL DOMAIN would be between 10 and 30 pounds of berries.
This can be expressed in terms of an inequality: 10 ≤ b ≤ 30 (i.e. all integers
between 10 and 30 inclusive).
If we were to be asked for the THEORETICAL
DOMAIN for the same function p(b)=5b−45. We would be considering the set of
logical values of b that would generate a reasonable output for the function. Clearly,
we could plausibly put any value of b in the function and still get a
reasonable output. So the theoretical domain of the function p(b)=5b−45 is the set of all real numbers.
The number that is missing is 7.
Answer:
a. 53.68
b. 53.53
Step-by-step explanation:
a. Step 1: Approximate the value for :
Since is close to (which is 8), this value can be approximated as a number that is less than but very close to 8. I chose 7.9.
The expression becomes 6(7.9)+2π
Step 2: Approximate the value for 2π
Since π is approximately 3.14, 2π is approximately 6.28.
The expression becomes 6(7.9)+6.28
Step 3: Use order of operations
6(7.9)+6.28=47.4+6.28=53.68
b. Step 4: If allowed, use a calculator to check how close your approximation is to the actual value
The approximation 53.68 is decently close to the actual value, so no minor math errors were made.
To model this situation, we are going to use the standard linear function:
.
1. Since S represent the total amount of money in the savings account,
. We also know that each week she adds $40 to her account, so the slope of our linear equation will be
; therefore,
. Since she started her account with $750,
.
Lets replace those values in our linear function:
We can conclude that equation that models this situation is: 2. Now to find the total amount after 16 weeks, we just need to replace
with 16 in our equation and simplify:
We can conclude that the amount of money in her account after 16 weeks is $1390
Answer:
6.75
Step-by-step explanation: