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Vilka [71]
3 years ago
5

Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowa

nce of $40 per week for gas. She knows her weekly earnings can be shown using the following expression:
7.50h + 0.20s + 40

Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)

Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points)

Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? Why? (3 points)
Mathematics
1 answer:
maw [93]3 years ago
4 0
PART A
Coefficient
Coefficient h is 7.50
Coefficient s is 0.20

Variable
h and s

Constant
40

PART B
7.50h + 0.20s + 40
= 7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
= 287.5
She earns $287.5

PART C
Yes, the coefficient of h would change to 9, the rests are still the same. Because she's no longer receive 7.50 per hour, and start earning 9 per hour, so the coefficient should change.
The expression would be
9h + 0.20s + 40
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What is the sum of the first 4 terms of the arithmetic sequence in which the 8th term is 10 and the 14th term is 29.5?
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Answer:

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14.50

Explanation:

In an arithmetic sequence, whose first term is

a

and difference between a term and its preceding term is

d

,

the

n

t

h

term is

a

+

(

n

−

1

)

d

and sum of first

n

terms is

n

2

(

2

a

+

(

n

−

1

)

d

)

Hence

6

t

h

term will be

a

+

5

d

=

8

and

10

t

h

term will be

a

+

9

d

=

13

Subtracting first from second,

4

d

=

5

or

d

=

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and

a

=

8

−

5

⋅

1.25

=

8

−

6.25

=

1.75

Hence sum of first four terms is

4

2

⋅

(

2

⋅

1.75

+

3

⋅

1.25

)

=

2

⋅

(

3.5

+

3.75

)

=

2

⋅

7.25

=

14.50

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2 years ago
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