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Lena tutors chemistry. For each hour that she tutors, she earns 30 dollars.

Let E be her earnings (in dollars) after tutoring for H hours.

E

Write an equation relating E to H. Then use this equation to find Lena's earnings after tutoring for 19 hours.

Equation:

x

5

?

Lena's earnings for 19 hours: I dollars

Question

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Respuesta :

isyllus isyllus · Answer 1 · 2020-09-02T03:28:07+02:00

Answer:

[tex]E = 30 \times H[/tex]

$570

Step-by-step explanation:

Given that:

For each hour of tutoring, Lena earns 30 dollars.

E is her earning and

H is the number of hours for which she tutors.

To find:

Equation relating E to H.

Solution:

Let Lena tutors for 1 hour, then the earning = 30 dollars

Let Lena tutors for 2 hours, then the earning = 30+30 OR 2[tex]\times[/tex]30 = 60 dollars

Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3[tex]\times[/tex]30 = 90 dollars

If Lena tutors for H number of hours, then the earning, E = 30 + 30 + .... + 30 (H times) i.e.

[tex]E = 30 \times H[/tex]

So, the equation that relates E to H is given as:

[tex]E = 30 \times H[/tex]

Now, it is given that she tutors for 19 hours.

Let us put H = 19 hours in the above equation:

[tex]E = 30 \times 19 \\\Rightarrow E = \$570[/tex]

Therefore, the earning for 19 hours of tutoring is 570 Dollars.