Question

During the summer, Gavin tutors and Eva washes cars.To show their earnings, Gavin makes a graph and Eva makes a table. Who earns more money per hour, and by how much more?

Answer 1

Answer:

Gavin earns more by $8.5

Step-by-step explanation:

Given

See attachment

Required

Who earns more?

For Gavin's

$m_1=20$ -- slope

For Eva;

The slope is calculated as:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (2,23)$

$(x_2,y_2) = (5,57.50)$

So:

$m_2 = \frac{57.50 - 23}{5 - 2}$

$m_2 = \frac{34.5}{3}$

$m_2 = 11.5$

By comparison:

$m_1> m_2$

$20> 11.5$

This means that Gavin earns more

Calculate the difference:

$d = 20 -11.5$

$d = 8.5$

By $8.5

Answer 2

Eva earns more money per hour than Gavin. She earns $4.25 more.

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

For Eva's earning:

$Slope=\frac{218.25-97}{9-4} =\ 24.25\ per\ hour$

For Gavin, the slope is $20 per hour

Therefore Eva earns more money per hour than Gavin. She earns $4.25 more.

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