Answer:
k = 3
Step-by-step explanation:
multiply 11 and 3 and you get 33 and then add 9 which you get 42
The correct answer is B. 72 because you can multiply 3*6*4 to represent every combination possible.
Given:
The table of value of a linear function.
To find:
The linear function in slope intercept form.
Solution:
Slope intercept form:

Where, m is slope and b is y-intercept.
Consider any two points from the given table.
It is clear that the linear function passes through the points (1,0) and (2,5). So, the equation of the linear function is

Using distributive property, we get


Therefore, the slope intercept form of the given linear function is
.
The number of hours spent lifeguarding and clearing tables is 5.4 hours and 8.6 hours respectively
<h3>Solving inequality equation</h3>
- x = number of hours lifeguarding
- y = number of hours clearing tables
x + y ≤ 14 (1)
19x + 9y ≤ 180 (2)
From (1)
x = 14 - y
substitute into (2)
19x + 9y ≤ 180
19(14 - y) + 9y ≤ 180
266 - 19y + 9y ≤ 180
- 19y + 9y ≤ 180 - 266
- 10y ≤ -86
y ≤ -86 / -10
y ≤ 8.6 hours
x + y ≤ 14
x + 8.6 ≤ 14
x ≤ 14 - 8.6
x ≤ 5.4 hours
Learn more about inequality equation:
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