Answer:
Given that Angelo spends the same amount every day from the amount in
the lunch card, the function of the amount remaining is a linear function.
The constant rate of change of the function is; -5.25
The two ordered pairs used to find the constant rate of change are; (1, 44.75) and (2, 39.5)
Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
The two ordered pairs that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25
The true statement is:
"The range of the function is all real numbers less than or equal to 9."
<h3>
Which statements are true?</h3>
Here we have the quadratic function:

And we want to see which of the given statements are true.
The first one is:
"The domain is al real numbers less than or equal to -2"
This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).
The second statement is:
" The domain of the function is all real numbers less than or equal to 9."
Also false
Third one:
" The range of the function is all real numbers less than or equal to −2"
The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.
In this case, the quadratic function is:

So the vertex is at:

Then the y-value of the vertex is:

So the range is the set of all real numbers less than or equal to 9.
So the above statement is false, and the final one:
"The range of the function is all real numbers less than or equal to 9."
Is the true statement.
If you want to learn more about quadratic functions:
brainly.com/question/1214333
#SPJ1
4x+6y=8
3x+y=9
y = 9 - 3x
4x + 6(9-3x) = 8
4x + 54 - 18x = 8
14x = 46
x = 23/7
y = 9 - 3(23/7)
y = 9 - 69/7
y = - 6/7
Answer:
$618,253.61
Step-by-step explanation:
30 to 65 is 35 years
22000 × (1 + 10/100)³⁵
22000 × 1.1³⁵
618253.6107