Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:
a) -4.
b) P = 25.
c) 2.
d) P = 5.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The demand is given by:
D = 100 - 4P.
Hence the slope is of -4. The demand is equals to zero when:
100 - 4P = 0 -> P = 25.
The supply is given by:
QS = -10 + 2P.
Hence the slope is of 2. The supply is equals to zero when:
-10 + 2P = 0 -> P = 5.
More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:
30 3/8
Step-by-step explanation:
9514 1404 393
Answer:
12 1/2 laps
Step-by-step explanation:
To find the number of laps, divide the distance by the distance per lap.
(3 1/8) ÷ (1/4) = (3 1/8) × (4/1) = 3·4 +(1/8)·4 = 12 4/8 = 12 1/2
Quadir needs to jog 12 1/2 laps if he wants to jog 3 1/8 miles.
Annie's total earnings from her initial savings, $12, and from babysitting should be equal or more than 30. Annie's total earnings from babysitting may be expressed as $6n. The inequality should be,
12 + 6n <span>≥ 30
Solving for x,
6n </span><span>≥ 30 - 12
</span><span>
6n </span>≥ 18 ; n <span>≥ 3
</span><span>
Thus, the answer is the second among the choices.
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