Question

irma wants to save up some money to buy a new smartphone, so she babysits on the weekends.
there is a proportional relationship between the time irma spends babysitting (in hours), x,
and the amount of money she earns babysitting (in dollars), y.

chart with x-axis labeled hours (0 - 10) and y-axis labeled dollars (0 - 10), blue line graph

write an equation for the relationship between x and y. simplify any fractions.

Explanation:

Step1: Identify the relationship type

The relationship between \( x \) (hours) and \( y \) (dollars) is proportional, so it follows the form \( y = kx \), where \( k \) is the constant of proportionality (rate of pay per hour).

Step2: Find the constant \( k \)

From the graph, when \( x = 1 \), \( y = 10 \) (assuming the point is \( (1, 10) \) from the steep line). Substitute into \( y = kx \):
\( 10 = k \times 1 \), so \( k = 10 \).

Step3: Write the equation

Substitute \( k = 10 \) into \( y = kx \), giving \( y = 10x \).

Answer:

\( y = 10x \)