Answer:
Rate of change = -30
Initial value = 400
Step-by-step explanation:
Write the equation of the linear function representing this situation. Let
x = number of weeks Gandalf is spending money
y = amount of quibbles left in his account.
Gandalf has 400 quibbles in his account. This means, 
is the initial value of quibbles Gandalf had in his account
He spends 30 quibbles each week, this means, that he spends 30x quibbles in x weeks and the amount left in his account is
Therefore, the slope is 
and this is the rate of change (negative because the amount of money in his account decreases each week)
Answer :
x = 53.85
Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.
1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42
2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85
3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :
42/0.78 = 53.85
Since you don't have answer choices to choose from, here are a few:
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Solution:
<u>Given function:</u>
<u>Solution (x = -2):</u>
- f(x) = x - 1
- => -2 - 1
- => -3
<u>Solution (x = 0):</u>
- f(x) = x - 1
- => 0 - 1
- => -1
<u>Solution (x = 2):</u>
<u>Solution (x = 3):</u>
- f(x) = x - 1
- => f(x) = 3 - 1
- => 2
