Question

2

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

Answer 1

`E = 30 * H`

$570

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
`*`30 = 60 dollars

Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3
`*`30 = 90 dollars

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

`E = 30 * H`

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

`E = 30 * H`

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

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

`E = 30 * 19 \\\Rightarrow E = \$570`

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