All categories

3 years ago

Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable

Mathematics

2 answers:

natulia [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Her reading pace is 2 pages per min:

2 pages = 1 min

1 page = 1 ÷ 2 = 0.5 min

x pages = 0.5x mins

Find the total number of pages she has read in x min:

Number of pages read = y

y = 75 + 0.5x

Answer: y = 75 + 0.5x

kherson [118]3 years ago

3 0

Answer:

Option D.

Step-by-step explanation:

Consider the below image attached with this question.

It is given that yesterday Selma read 75 pages of her book and she reads at a pace of 2 pages per minute today. It means

Initial value = 75

Slope = 2

She has read, y, after x minutes have elapsed.

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept.

$y=2x+75$

At x=0,

$y=2(0)+75=75$

At x=11,

$y=2(11)+75=97$

At x=20.25,

$y=2(20.25)+75=115.5$

At x=58,

$y=2(58)+75=191$

Table of values

x y

0 75

11 97

20.25 115.5

58 191

Therefore, the correct option is D.

You might be interested in

The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

8 0

3 years ago

Find any points of discontinuity for the rational function. y=x-5/x^2-7x-8

kotegsom [21]

For discontinuity of the function:
x² - 7 x - 8 ≠ 0
x² - 8 x + x - 8 = 0
x ( x - 8 ) + ( x - 8 ) ≠ 0
( x - 8 ) ( x + 1 ) ≠ 0
The points of discontinuity are: x = - 1 and x = 8.
As for the Domain of the function:
x ∈ ( - ∞, - 1 ) ∪ ( - 1 , 8 ) ∪ ( 8, +∞ ).

3 0

3 years ago

Read 2 more answers

If y is 5 when x is 2.5 and y varies directly with x, find y when x is 10

ikadub [295]

Answer:

If x varies directly as y, then x=ky. y=5 and x=2.5 are substituted into x=ky to find k.

2.5=5k

k=2.5/5

k=5.

K =5 is substituted in x=ky to find y where x is 10.

x=5y