Question

Pls help me with this i don’t really get it pls

Answer 1

Problem and answer:

a) what is the y intercept?

(0,8) is the y intercept because it crosses the y axis.

What is the flat rate?

We can see that the flat rate is 8, which is the y intercept.

b) Find the slope and write an equation for the line.

`\quad\quad\quad\boxed{ \tt{m = (rise)/(run) = \frac{ y \tiny{2} \: \small{ - } \: y \tiny{1}}{x \tiny{2} \: \small{ - } \: x \tiny{1}} }}`

We will use the first 2 points in the graph which is (1,12) and (2,16).

`\quad\quad\quad\boxed{ \tt{m = (16 - 12)/(2 - 1) }}`

`\quad\quad\quad\boxed{ \tt{m = (4)/(1) }}`

`\quad\quad\quad\boxed{ \color{green}\tt{m = 4}}`

The equation is:

`\quad \quad \quad \boxed{ \tt{y = mx + b}}`

c) Jack has $22 for how many hours can he rent an e-bike?

Let's use the equation as formula:

`\quad \quad \quad \boxed{ \tt{y = mx + b}}`

Let's y = 22, mx = 4 and b = 8.

`\quad \quad \quad \boxed{ \tt{22 =4x + 8}}`

Let's subtract 8 from each side.

`\quad \quad \quad \boxed{ \tt{22 - 8 = 4x + 8 - 8}}`

`\quad \quad \quad \boxed{ \tt{14 = 4x \: \:\cancel{ \color{red}+ 8 - 8}}}`

Let's devide it by 4 to cancel out the number 4.

`\quad \quad \quad \boxed{ \tt{ \frac{14 = \cancel4x}{ \cancel{4} }}}`

`\quad \quad \quad \boxed{ \color{green} \tt{3.5 = x}}`

Hence the answer for this is 3.5 hours or 3h50m. It is approximately 4 hours.

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Answer 2

a y intercept (0,8)

Flat rate 8

b slope is 4

c 3.5 hours

Explanation:

The y intercept is where it crosses the y axis, which is (0,8)

The flat rate is the y intercept which is 8

The rate per hour is the slope

m = ( y2-y1)/(x2 -x1)

Using 2 point ( 1,12) and ( 2,16)

= (16 -12)/(2-1)

= 4/1

= 4

The equation is

y = mx+b

y = 4x+8

Let y = 22

22 = 4x+8

Subtract 8 from each side

22-8 = 4x+8-8

14 = 4x

Divide by 4

14/4 = 4x/4

3.5 = x

3.5 hours