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Pepsi [2]
3 years ago
5

Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his

Mathematics
1 answer:
evablogger [386]3 years ago
6 0

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as y - b = m(x - a), where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in y - b = m(x - a).

✅Equation in point-slope form would be:

y - 12 = -3(x - 6)

Rewrite this to make it be in the slope-intercept form, y = mx + b.

y - 12 = -3(x - 6)

y - 12 = -3x + 18

Add 12 to both sides

y = -3x + 18 + 12

y = -3x + 30

✅The equation in slope-intercept form is y = -3x + 30

b. ✍️Based on the linear model, y = -3x + 30, the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, y = -3x + 30, "-3" represents the slope.

✅Therefore,  Peter's delivery time decreased 3 mins per day.

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F(x) = x(x - 1)<br><br> g(x) = 3x<br> find (f*g)(6)
svetlana [45]

Step-by-step explanation:

<u>Given functions:</u>

  • f(x) = x(x - 1)
  • g(x) = 3x

<u>Find (f*g)(6):</u>

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<u>In case it is a composite function (f · g)(6) the answer is different:</u>

  • (f · g)(6) = f(g(6)) = f(3*6) = f(18) = 18*(18 - 1) = 306
4 0
2 years ago
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Salsk061 [2.6K]

Answer:

7 \times (8 + 9) - 6 \times (2000 + 1700) = 19000.02

That is the answer you are looking

6 0
3 years ago
Danny babysat for 7 hours yesterday. For how many seconds did Danny babysit for yesterday? Show me how you got the answer
Snezhnost [94]
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An ice cream factory makes 340 quarts of ice cream in 10 hours how many quarts could be made in 12 hours what was that rate per
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3 years ago
Johnny played 31/2 video games in an hour.How many could be play in 40 minutes ?
REY [17]

<u>Answer: </u>

Johnny could play 2\frac{1}{3} video games in 40 minutes.

<u>Explanation:</u>

Given:  

Johnny played  video games in an hour = 3\frac{1}{2}

To  Find:

Video games Jonny can play in 40 minutes =?

Solution:

number of videos games Jonny  can play in 1 hour = 3 \frac{1}{2}= \frac{7}{2}

And as 1 hour = 60 minutes ,  

So number of videos games Jonny can play in 60 minutes =\frac{7}{2}

=> Videos games Jonny can play in 1 minute ={\frac{\frac{7}{2}}{60}

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=> Videos games Jonny can play in 40 minute = 40 x Videos games Jonny can play in 1 minute

=> Videos games Jonny can play in 40 minute = 40 \times \frac{7}{120}

=> \frac{7}{3}=2\frac{1}{3}

Hence Johnny could play 2\frac{1}{3} video games in 40 minutes.

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