To find the gradient/slope, we need to first choose two points on the line. You can choose any two points you like, as long as they are on the line you are trying to find the slope of.

Point 1 = (2,2)

Point 2 = (5,8)

Now, we can plug in these points to the formula and solve.

(8 - 2) / (5 - 2)

6 / 3

The gradient of the blue line is 2.

Hope this helps!! :)

7 0

3 years ago

Ms. LaTrace teaches her 27 students to make folded-paper princesses. Each student can make about 2 princesses in 1 minute. ABOUT

saveliy_v [14]

Answer:

About 2970 princesses

Step-by-step explanation:

This is calculated as:

For 1 student:

1 minute = 2 princesses

55 minutes = x princesses

x = 55 × 2 princesses

x = 110 princesses.

Hence: 1 student can make 110 princesses in 55 minutes.

The amount of princesses all the students make in 55 minutes is calculated as:

1 student = 110 princesses

27 students = x

x = 27 × 110 princesses

x = 2970 princesses

The amount of princesses all the students make in 55 minutes is about 2970 princesses.

5 0

3 years ago

A manufacturer producing a new product, estimates the annual sales to be 9,600 units. Each year, 8% of the units that have been

Crazy boy [7]

Answer:

After n years, 120,000(1 - 0.92ⁿ) units, will be in use.

Step-by-step explanation:

Given;

estimated annual sales, a = 9600 units

determine common ratio, r;

$r = 1 - \frac{8}{100}\\\\r = 0.92$

sum of the units in use after n years is calculated by applying sum of nth term;

$S_n = \frac{a}{1-r} (1-r^n)$

$S_n = \frac{9600}{1-0.92} (1-0.92^n)\\\\S_n = \frac{9600}{0.08} (1-0.92^n)\\\\S_n = 120,000(1-0.92^n) \ units$

Therefore, after n years, 120,000(1 - 0.92ⁿ) units, will be in use.

4 0

3 years ago