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GaryK [48]
4 years ago
9

The graph shows the number of hours per day spent on social media by a group of teenagers and the number of hours per day spent

exercising. A line of best fit for the data is shown.
Use the graph to determine how many hours a teenager would spend exercising in one day if they spent 0.25 hours on social media.


Use the graph to determine how many hours a teenager would spend exercising in one day if they spent 1.38 hours on social media.


Do you think the predictions from part (a) and part (b) are reliable? Explain your reasoning.​

Mathematics
1 answer:
siniylev [52]4 years ago
8 0

(a) 0.9 hours will be spent on exercising.

(b) 0 hours

(c)The predictions are reliable because the graph shows that increase in number of hours spent on social media leads to a decrease the number of hours spent in exercising.

Step-by-step explanation:

Using the graph,if 0.25 hours are spent on social media, 0.9 hours will be spent on exercising.

If 0.38 hours are spent on social media, the teenager will spend 0 hours exercising. This is because the teenager will have no time to exercise when 1.35 hours or more are spent on social media.

The predictions are reliable because the graph shows that increase in number of hours spent on social media leads to a decrease the number of hours spent in exercising.

Learn More

Graph interpretation :brainly.com/question/11624428

Keywords : prediction, reliable, reasoning

#LearnwithBrainly

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4 years ago
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Ace Truck leases its 10-ft box truck at $20/day and $0.50/mi, whereas Acme Truck leases a similar truck at $15/day and $0.55/mi.
Masja [62]

Answer:

a) f(x) = 0.5 \frac{dollars}{day} x + 20

g(x) = 0.55 \frac{dollars}{mi} x + 15

b) f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

Step-by-step explanation:

Assuming the following questions.

(a) Find the daily cost of leasing from each company as a function of the number of miles driven and sketch the graph of these functions.

For the Ace truck we know that leases its 10-ft box truck at $20/day and $0.50/mi. So then f(x) representing the daily cost is given by:

f(x) = 0.5 \frac{dollars}{day} x + 20

Where x represent the  number of miles driven

For the Acme Truck we know that leases a similar truck at $15/day and $0.55/mi, so then the g*x( representing daily cost would be given by:

g(x) = 0.55 \frac{dollars}{mi} x + 15

Where x represent the miles driven.

We can see the plot on the figure attached.

(b) Which company should you rent a truck from for 1 day if you plan to drive 70 miles and wish to minimize cost?

If we replace the value x=70 for both functions we got:

f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

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3 years ago
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Step-by-step explanation:

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