Mathematics, 10.07.2019 02:00 jessicascott120305

The equation d=4-1/15t represents your distance from home, d, for each minute you walk, t. if you graphed this equation, determine the meaning of the slope in the situation

Answers: 1

Show answers

Answers

Answer from: cxmochaa

the slope is -1/15 and it means that the distance from home decreases 1/15 units per minute of walk, which indicates the your are going home.

Explanation:

The equation d = 4 - (1/5)t has these features:

it is a linear (first degree) equation/d is the dependent variable, distance from home.t is the independent variable, minutes of walk4 is the constant term and it is the value of d when t = 0, which means that it is the vertical axis intercept and represents the initial distance from home.- ( 1/15) is the coefficient of the independent variable, it is the slope of the equation, and means the rate of change of the distance per minute of walk.this slope, since it is negative, means that the distance decreases as times goes on. It means that each minute of walk the distance decreases 1/15 unit.you can find when the distance is zero, by doing the variable d = 0:

d = 0 = 4 - (1/15)t ⇒ t = 4×15 = 60 min.

The given equation, d = 4 - (1/5)t is a linear equation, whose y-intercept form is y = mx + b.

m is the slope, therefore it is - 1/15.4 is the y-intercept, therefore it is 4.

The domain of the function is the interval [0, 60], meaning that those are the minutes of the walk.

The range of the function is the interval [4, 0] meaning that the distance goes from 4 to 0 units.

You have plenty information to do the graph:

label the horizontal axis t in minutesdo marks at 0, 5, 10, 15, 20, 25, .... up to 60 on the horizontal axislable the vertical axis ddo marks at 4, 3, 2, 1, on the vertical axisdraw the points (0, 4) and (60,0)draw a segment joining those two points.

You can see the graph in the image attached.

The equation d=4-1/15t represents your distance from home, d, for each minute you walk, t. if you gr

Answer from: Quest

i am sure it will be 90 degrees.

step-by-step explanation:

Answer from: Quest

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,

b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,

and solve for the variable

* lets solve the problem

∵ $7^{x}=77$

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴ $ln(7^{x})=ln(77)$

- use the rule $ln(a^{n})= nln(a)$

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴ $x=\frac{ln(77)}{ln(7)}=2.23$

* the solution of the equation is 2.23 to the nearest 2 decimal places

Another question on Mathematics

Mathematics, 21.06.2019 18:30

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

Write an equation of the line that passes through 9,2 and is parallel to the line y=5/3x+9

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Complete each sentence with the correct form of the verb ser or estar to say where the following people are from or where they are right now claudia y maria en méxico

Answers: 1

Answer

Mathematics, 21.06.2019 22:10

What is the area of the original rectangle? 8 cm² 20 cm² 25 cm² 40 cm²

Answers: 1

Answer

You know the right answer?

The equation d=4-1/15t represents your distance from home, d, for each minute you walk, t. if you gr...

Questions