Select the correct graph.

Mathematics

1 answer:

ASHA 777 [7]3 years ago

8 0

Answer:

The correct graph is the second one from the first row.

Step-by-step explanation:

Since his initial income was $20,000 per year, then the graph line must cross the "y" axis in that value. Since his average increase in pay on those eight years was $4,000, then for each one year step on the "x" axis the function must increase approximately "4,000" on the "y" axis. The only graph that follow this rule is the second graph on the first row. Since it starts at 20 on the "y" axis and it doubles to "40" only after 5 years, therefore increasing 4 per year.

You might be interested in

Solve x2 – 18x + 81 = 4 by completing the square. Select any solutions that apply.

Masteriza [31]

Answer:

7 and 11

Step-by-step explanation:

3 0

2 years ago

a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

3 0

3 years ago

Which fraction is between 0 and 50/100

Gelneren [198K]

Hey!~

The answer is 25/100.
0/100 (0) and 50/100 (1/2) : The middle is 1/4.

Hope this helps and have a great day!

-Lindsey

7 0

2 years ago

Read 2 more answers

I need help to figure out this question

ololo11 [35]

I think it would be 16.95 Hope this help you in someway.

8 0