Question

Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns 3 more per hour than Gabe. How much money will he earn after the following hours: 4, 8 ,12 and 16

Answer 1

Answer:

1.

- Gabe earns 13.5 per hour

2.

x ------------------ 4  ---- 8 --------- 12 ------ 16

Earnings ----- 57 ---- 111 ------- 165------ 219

Step-by-step explanation:

See attachment for complete question

Solving (a): Gabe's earnings per hour,

To do this, we simply calculate the slope (m) of the table.

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

Where

$(x_1,y_1) = (3,40.5)$

$(x_2,y_2) = (6,81.0)$

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

$m = \frac{81 - 40.5}{6 - 3}$

$m = \frac{40.5}{3}$

$m = 13.5$

Hence, Gabe earns 13.5 per hour

Solving (b): Jordan earnings

First, we calculate the equation of Gabe's table using:

$y - y_1 = m(x - x_1)$

Where

$m = 13.5$ and $(x_1,y_1) = (3,40.5)$

$y - 40.5 = 13.5(x - 3)$

$y - 40.5 = 13.5x - 40.5$

$y = 13.5x$

If Jordan earns 3 more per hour than Gabe, then: Jordan's equation would be;

$y = 13.5x + 3$

When x  = 4

$y = 13.5*4 + 3 = 54 + 3 = 57$

When x = 8

$y = 13.5*8 + 3 = 108 + 3 = 111$

When x = 12

$y = 13.5*12 + 3 = 162 + 3 = 165$

When x = 16

$y = 13.5*16 + 3 = 216 + 3 = 219$