Yint is where the line crosses the y axis or where x=0
set x=0
3y+4x=15
x=0
3y+4(0)=15
3y+0=15
3y=15
divide by 3
y=5
yint is (0,5) or at y=5
So,
5y*3 is the open phrase the student uses to model "the sum of 5y and 3".
"The sum of" means addition. The student put 5y*3, while the sum of 5y and 3 is actually 5y + 3.
Answer:
Area of trapezoid is
.
Therefore, option 2nd is correct.
Step-by-step explanation:
We have been given both the sides a=3 and b=5.
And height that is h=4
We will use the formula find the area of trapezoid is:

Substitute the formula we get:


.
Area of trapezoid is
.
Therefore, option 2nd is correct.
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.