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Lena [83]
2 years ago
8

Donna wants to save $700 to buy a TV. She saves $17 cach week. The amount, A (in dollars), that she still needs after w weeks is

given by the following
function
A(w)= 700 - 17w
Answer the following questions.
(a) How much money does Donna still need after 6 weeks?
s
(b) If Donna still needs $411, how many weeks has she been saving?
Mathematics
1 answer:
alexandr1967 [171]2 years ago
8 0

Answer:

Part A:

She would need $598 after 6 weeks of collecting money.

Part B:

She would have waited 17 weeks to have $411 left.

Step-by-step explanation:

Part A:

Replace w in 700 - 17w with 700 - 17(6).

This would give you $598 left until $700 has been reached.

Part B:

Replace w in 700 - 17w with 700 - 17(17).

This would give you $411 left until $700 has been reached.

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U(n + 1) = kU(n) + r

_________________________________

n = 1

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37k + r = 188 \:  \: \:  (( \alpha ))_________________________________

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188k  + r = 943 \:  \: \:  (( \beta ))

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(( \beta )) - (( \alpha )) =

188k - 37k + r - r = 943 - 188 \\

151k = 755

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\frac{151k}{151}  =  \frac{755}{151}  \\

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37k + r = 188

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r + 185 = 188

Subtract sides 185

r + 185 - 185 = 188 - 185

r = 3

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