Question

Question 4:

The graph of a function is given by the equation y=−x+1
. Which statement about the graph of the function is correct?

(1 point)
Responses

The graph of the function is linear because the function has a constant rate of change of −1
.
The graph of the function is linear because the function has a constant rate of change of negative 1.

The graph of the function is linear because the function has a constant rate of change of 1
.
The graph of the function is linear because the function has a constant rate of change of 1.

The graph of the function is nonlinear because it contains points that lie on a straight line.
The graph of the function is nonlinear because it contains points that lie on a straight line.

The graph of the function is nonlinear because it does not pass through the origin.
The graph of the function is nonlinear because it does not pass through the origin.
Question 5
Question 5:

Maria set up chairs for her sister's wedding in a particular pattern: the first row has 10
chairs, for each subsequent row, the number of chairs increases by 4
.

How many rows of chairs are there if the total number of chairs is 90
?

(1 point)
Responses

4 rows

4 rows


5 rows

5 rows


10 rows

10 rows


26 rows

Answer 1

Question 4: The correct response is the first one — the graph is linear because the function has a constant rate of change of −1.

Question 5: 5 rows.
Reason: The row counts are 10, 14, 18, ... (difference 4). Sum for 5 rows = 10+14+18+22+26 = 90. Alternatively use sum formula: n/2*(2·10+(n−1)·4)=90 ⇒ n(n+4)=45 ⇒ n=5 (positive solution).