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bezimeni [28]
2 years ago
8

The table below shows a pattern in the cost of renting a car based on the number of days rented. Car Rentals Number of Days (d)

Cost in Dollars (c) 4 161 5 195 6 229 7 263 The pattern continues. Which equation describes the pattern in the cost of renting a car? A. c = 68d + 25 B. c = 34d + 127 C. c = 68d + 43 D. c = 34d + 25
Mathematics
1 answer:
andrezito [222]2 years ago
6 0

The linear equation that describes the pattern in the cost of renting a car is given by:

  • D. c = 34d + 25

<h3>What is a linear function? </h3>

A linear function is modeled by:

y(x) = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • For each day, the cost of renting a car increases by 34, hence, the slope is of 34, and the equation is:

c(d) = 34d + b

When d = 4, c = 161, and this is used to find b.

c(d) = 34d + b

161 = 34(4) + b

b = 25

Hence, the equation is c = 34d + 25, and option D is correct.

You can learn more about linear functions at brainly.com/question/25823744

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ivann1987 [24]

The required solution is ∠RQT =  202°  and ∠QTS = 51°

<h3 />

<h3>What is a cyclic quadrilateral?</h3>

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.

Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.

Now, the given circle has a cyclic quadrilateral QRST in which it is given that  ∠RQT =  202° and ∠QRS = 129°

Since,sum of the opposite angles of a cyclic quadrilateral =  180°  

⇒∠QTS + ∠QRS = 180°

⇒ ∠QTS  + ∠129° = 180°

⇒ ∠QTS = 180° - ∠129°

⇒ ∠QTS = 51°

Hence,the requires angles are ∠RQT =  202° and ∠QTS = 51°.

More about cyclic quadrilateral :

brainly.com/question/14323008

#SPJ1

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