The cost for 7 dance lessons is $82. the cost for 11 lessons is $122. write a linear equation to find the total cost c for l dance lessons.

First, find the slope of the line representing the total cost.

The slope of the line thru (7, $82) and (11, $122) is

$122-$82

m = = $40/4 per hour, or $10 per hour.

11-7

Now write the linear equation. I'm choosing to use the slope-intercept form:

y = mx+ b. Here, we have m = $10 per hour and the point (7, $82)

Then $82 = ($10 per hour)(7 hrs) + b. Then b = $82-$70, or $12.

Thus, the desired line is

y = ($10.hr)x + $12.

Looks like there is an up-front fee of $12 along with the hourly fee of $10.

Q.2 units

Q.3 units

Step-by-step explanation:

Given that points:

C(-1, 3) and D (-5, 7)

E(0, -5) and F(10, -15)

To find:

Q.2. Distance between C and D

Q.3. Distance between E and F

Solution:

First of all, let us solve the question marked as number 2 in the attached image.

C(-1, 3) and D (-5, 7)

To find the distance 'd' between the points, we can use distance formula:

First of all, let us solve the question marked as number 3 in the attached image.

E(0, -5) and F(10, -15)

To find the distance 'd' between the points, we can use distance formula:

Please find attached image for the answers filled in the boxes.