Mathematics, 16.01.2020 00:31 haileebug5049

Could somebody me? i'm struggling with this question: (

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Slope is the charge per hour, y-intercept is the flat fee earned by Nicole and the equation to find the cost per hour is C=m(h)+3

For hours of babysitting amount earned is $28\$$ .

Step-by-step explanation:

From the given data lets assign time on x-axis and the amount earned on y-axis.

We have to choose two points.

(x_1,y_1)=(3,18) and (x,y)=(5,28)

By applying point slope form we have to find the slope of the points.

Slope (m) $= \frac{y-y_1}{x-x_1} =\frac{28-18}{5-3} =\frac{10}{2} =5$

Here slope is representing per hour charge of Nicole for babysitting.

Now lets find the y-intercept value by plugging the values of (x,y) in standard equation of line that is y=mx+b ,equivalent to C=m(h)+b where $b\\$ is the y-intercept.

The equation for cost (C), C=m(h)+3 , is the number of hours.

b=C-m(h), b=28-5(5), b=28-25=3

This y-intercept (b=3) is representing the flat fee Nicole will charge for babysitting.

Now

For hours cost we will put h=5 in the equation of cost.

$C=5h+3,C=5(5)+3=28\$$

For hours of baby sitting Nicole will earn an amount of $C=5(5)+3=28\$$

So our final answers are equation of cost =C=m(h)+3 , y-intercept is the flat fee and slope is the charge per hour.For hours amount earned is $28\$$ .

Answer from: Quest

me i beg !

step-by-step explanation:

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$