Austin swam 1.4 laps each minute. Ashley is Austin's older sister. She trains in the same pool and can swim 9 laps in 6 minutes. Is Ashley a faster swimmer than Austin? Question - how can you use the unit rate in minutes per lap to compare Ashley's speed to Austin?

Asley is faster than Austin.

Step-by-step explanation:

Given: Austin swam 1.4 laps each minute.

Asley's sister can swim 9 laps in 6 minutes.

i.e. the number of laps she can swim in each minute =

1.5 > 1.4, i.e. Asley swim more laps than Austin in a minute.

Hence, Asley is faster than Austin.

In mintues per lap, speed of Austin =

Speed of Ashley =

Ashley took lesser time then austin per lap.

Hence, Ashley is faster than Austin.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

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

therefore the required function is . the graph of this function is shown below.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq