If I made $20 in 4 hours, what is the rate at which I made money?
1 answer:
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Answer:
(a) The constant of proportionality is 0.25
(b) 1 apple = $0.25
(c) $3 = 12 apples
Step-by-step explanation:
Given
Solving (a): The constant of proportionality;
For an equation:
Where
k = constant of proportionality
By comparing: to
Hence, the constant of proportionality is 0.25
Solving (b): What information does gives.
It represents the unit rate.
<em>So, it means that 1 apple costs $0.25</em>
<em></em>
Solving (c): Number of apples for $3.
This means that
Substitute 3 for c in
Make n the subject
Answer:
1.5 seconds
Step-by-step explanation:
The height equation is supposed to be ...
h(t) = -16t^2 +22t +3
We want to find the positive value of t where h(t) = 0.
0 = -16t^2 +24t -2t +3 . . . . facilitate factoring
0 = -8t(2t -3) -1(2t -3) . . . . . factor by pairs
0 = -(8t +1)(2t -3) . . . . . . . . complete the factoring
The solutions to this are ...
t = -1/8, 3/2
The ball will reach the ground in 1.5 seconds.
