Treat each (time, money) pair as an (x, y) pair, and get the slope of the line:
For Rosita, (5, 128), (7, 164): m = (y2 - y1)/(x2 - x1) = (164 - 128)/(7 - 5) = 18, implying that she earns $18/hr. The y-intercept is calculated as: y = 18x + b, 128 = 18*5 + b, b = $38, meaning that she started with $38. Rosita's equation is y = 18x + 38.
For Garth, (3, 124), (8, 194): m = (194 - 124)/(8 - 3) = 14. For 124 = 14*3 + b, b = $82. Garth's equation is y = 14x + 82
To find out when they will have saved the same amount, both equations would have the same y-value:
18x + 38 = 14x + 82
4x = 44
x = 11 hours
y = 18*11 + 38 = $236 (alternatively, y = 14*11 + 82 = 236)
This means that Rosita and Garth will have both saved $236 after 11 hours of working.
Answer:
(D)Jaleel's method is correct because 2(x-2)=2x-4.
Step-by-step explanation:
Jaleel and Lisa are simplifying the expression 2(x-2)+2 as shown.


We can see that Jaleel's method is correct because:
2(x-2)=2x-4.
When you expand, you must multiply the term outside by all the terms inside the bracket.
The correct option is D.
Answer:
Divide. Answer is 4
Step-by-step explanation:
First, divide.

Since you can't have a third of a box, you need the next number up, which is 4.
Answer:
Option C is correct
Step-by-step explanation:
In this question, we are asked to select which of the options have the same value as 7/3
We examine the options one urge other.
Option A
9/49; This is wrong as it cannot be divided further to yield while multiples
Option B
18/42; Dividing through by 6 will yield 3/7 which is not same as 7/3; This makes this option wrong too
Option C
42/18; dividing through by 6 will yield 7/3 which makes this option correct
Option D
49/9; This is a dead end as it cannot be divided further to give whole number multiples
Answer:
Step-by-step explanation: divide it to find the answer