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zzz [600]
2 years ago
14

Geraldo gets paid the same amount for each hour he works. The graph shows the amount he is paid, y, as it relates to the number

of hours he works, x. Yesterday, when he worked 6 hours, he was paid $84.
Geraldo’s Earnings
On a coordinate plane, a graph titled Geraldo's Earnings has number of hours on the x-axis and wages in dollars on the y-axis. The line goes through points (0, 0) and (6, 84).


Which ordered pair could represent the number of hours and amount Geraldo is paid today at the same hourly wage?
(3, 42)
(4, 60)
(5, 62)
(8, 100)

Mathematics
1 answer:
Dima020 [189]2 years ago
4 0

Answer:

(3, $42)

\

Step-by-step explanation:

Geraldo gets paid the same hourly rate from day to day.  This rate is the slope of the line representing his earnings.  It is m = rise/run, which here is

m = $84/(6 hr), or m = $14/hr.  Thus, the equation representing his earnings is y = ($14/hr)x.

The ordered pair (3, $42) satisfies this equation.  None of the other three do.

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Anjali went to Citizens Bank and borrowed $7,000 at a rate of 8%. The date of the loan was September 20. Anjali hoped to repay t
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2 years ago
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jack bought 4 rulers and 5 compasses for $18.92 altogether. If Jacks brother bought 2 rulers and 4 compasses for $14.98, what wa
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Answer:

Price of each compass = $3.68

Price of each ruler = $0.13

Step-by-step explanation:

Let R denote rulers and C denotes compasses

Jack bought 4 rulers and 5 compasses for $18.92

which algebraically translates to

4R + 5C = 18.92   eq. 1

Jack's brother bought 2 rulers and 4 compasses for $14.98

which algebraically translates to

2R + 4C = 14.98   eq. 2

Now we have two equations and two unknowns R and C

Choose any of the above equation and make any of the unknown the subject of the equation.

Choosing eq. 1

4R + 5C = 18.92

4R = 18.92 - 5C

R = (18.92 - 5C)/4    eq. 3

Now put this value of R into eq. 2

2R + 4C = 14.98

2((18.92 - 5C)/4) +4C = 14.98

9.46 - 2.5C + 4C = 14.98

1.5C = 5.52

C = 5.52/1.5

C = 3.68

So the price of each compass is $3.68

We can verify whether our answer is right or not. First we have to find the cost of R

Put this value of C into eq. 3

R = (18.92 - 5C)/4

R = (18.92 - 5*3.68)/4

R = (18.92 - 18.4)/4

R = 0.52/4

R = 0.13

So the price of each ruler is $0.13

Now let us verify:

from eq. 1

4R + 5C = 18.92

4(0.13) + 5(3.68) = 18.92

0.52 + 18.4 = 18.92

18.92 = 18.92  (hence proved)

from eq. 2

2R + 4C = 14.98

2(0.13) + 4(3.68) = 14.98

0.26 + 14.72 = 14.98

14.98 = 14.98  (hence proved)

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The slope of h(x) is
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The function with the largest slope is g(x).
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