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babymother [125]
3 years ago
15

PLEASE ANSWER ASAP

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

y = 4 (2)^{x}

Step-by-step explanation:

For an exponential function in standard form

y = a (b)^{x}

To find the values of a and b, use ordered pairs from the table

Using (0, 4 ), then

4 = ab^{0} ( b^{0} = 1 ), so

a = 4

y = 4b^{x}

Using (1, 8 ), then

8 = 4b^{1} = 4b ( divide both sides by 4 )

2 = b

Thus

y = 4 (2)^{x} ← exponential function

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Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tok
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<em><u>The expression that describes the number of tickets won by Lily is:</u></em>

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

<em><u>Solution:</u></em>

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

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<em><u>Given that Louis won 4.5 times as many tokens as Ben</u></em>

So we can frame a equation as:

number of tokens won by Louis =  4.5 times as many tokens as Ben

number of tokens won by Louis  = 4.5 x number of tokens won by Ben

b = 4.5 \times c

b = 4.5c

<em><u>Given that Lily won 8 more tokens than Louis</u></em>

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

a = 8 + 4.5c

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