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Gre4nikov [31]
3 years ago
14

Taylor earn $5 each time she walks her neighbors dog she has already earned $25 write and solve an equation to find o....Le list

of your answer show your work
Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Complete question :

Taylor earns $5 each time she walks her neighbor's dog. She has already earned $25. Write and solve an equation to find out how many more times Taylor needs to walk the dog to earn enough to buy a bike that costs $83.

Answer:

12

Step-by-step explanation:

Amount earned for walking dog = $5 per walk

Amount already earned = $25

How many more times dog needs to be walked to buy a bike which costs $83

Target amount = 83

(Target amount - already earned amount) / amount earned per Walk

(83 - 25) / 5

58 / 5

= 11.6

Hence, Taylor needs to walk her neighbor's dog 12 more times

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If you rent a car for one day and drive 225 miles, the cost is $80. If you drive 350 miles in one day, the cost is $105. Let cm)
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Answer:

a) (x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)

And we want to find a function:

C (m) = b_1 m + b_0

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And then we can use the point  (x_1 = 225, y_1 = 80) to find the intercept b_o and we got:

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b) For this case we have that m = 475 so we can replace into the function to find the cost like this:

C(m =475) = 0.2*475 + 35 = 130

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

155 = 0.2m + 35

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m= \frac{120}{0.2}= 600 mi

Step-by-step explanation:

For this case we can define the following notation:

m= represent the miles travelled

C= represent the cost

Part a

For this case we have the following two points given:

(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)

And we want to find a function:

C (m) = b_1 m + b_0

We can find the slope with this formula:

b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2

And then we can use the point  (x_1 = 225, y_1 = 80) to find the intercept b_o and we got:

80 = 0.2*225 +b_0

b_0 = 80-45 = 35

So then the linear function is given by:

C(m) = 0.2 m + 35

Part b

For this case we have that m = 475 so we can replace into the function to find the cost like this:

C(m =475) = 0.2*475 + 35 = 130

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

155 = 0.2m + 35

155-35= 120 = 0.2 m

m= \frac{120}{0.2}= 600 mi

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