Suppose you are going to graph the data in the table: Minutes Temperature (°C)
5 −20
10 5
15 10
20 6
25 25
30 21
35 14
40 −6

What data should be represented on each axis, and what should the axis increments be?
x‒axis: minutes in increments of 5; y-axis: temperature in increments of 1
x‒axis: minutes in increments of 5; y-axis: temperature in increments of 5
x‒axis: temperature in increments of 5; y-axis: minutes in increments of 1
x‒axis: temperature in increments of 1; y-axis: minutes in increments of 5

A: x‒axis: minutes in increments of 5; y-axis: temperature in increments of 1

Step-by-step explanation:

Let the x-axis represent the minutes

Let the y-axis represent the temperature

Now, from the values given us in minutes, we can see that the difference between the values are Increasing at constant rate of 5 minutes .

Thus, minutes increment on the x-axis is 5.

Now,for the y-axis, the increment is not constant as it fluctuates.

Thus, we cannot use 5 like we did for the x-axis. Rather, the most appropriate temperature increment to be used on this y-axis for ease of locating the points will be 1.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have