Question

2

Answer 1

Answer:

$E = 30 \times H$

$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$\times$30 = 60 dollars

Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3$\times$30 = 90 dollars

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

$E = 30 \times H$

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

$E = 30 \times H$

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

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

$E = 30 \times 19 \\\Rightarrow E = \ 570$

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