Marina earns $15 for 1 hour of babysitting $23 for 2 hours of babysitting and $31 for 3 hours of babysitting. Write a function to describe the sequence.

Step-by-step explanation:

Let y represent the amount that Marina earns for babysitting.

Let x represent the number of hours of babysitting.

If we plot the graph of y on the vertical axis and x on the horizontal axis of a graph,

the slope which is expressed as

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

Slope = (23 - 15)/(2 - 1) = 8

We would model the function in the slope intercept form which is expressed as

y = mx + c

Where c represents the intercept.

To determine c, we would substitute y = 15, x = 1 and m = 8 into y =mx + c. It becomes

15 = 8 × 1 + c

15 = 8 + c

c = 15 - 8 = 7

The function that describes the sequence would be

y = 8x + 7

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

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.