Question

Jeremiah is saving money from a tutoring job after the first three weeks he saved $135 assume the situation was proportional use the unit rate write an equation relating to the amount saved S to the number of weeks W work at this rate how much would your am I safe after 8 weeks

Answer 1

Proportions

Two variables are proportional if their quotient is always a constant number. Say S and W are proportional, then:

S/W = k

where k is a constant value

From the above relation, we have:

S = k*W

In our question, S is the amount saved after W weeks of work and we know both quantities are proportional

We need to find the value of k, the proportionality constant. We do that by using the values:

S = $135 when W = 3 weeks. This means that:

$135=k\cdot3$

Solving for k:

$k=\frac{135}{3}=45$

This means Jeremiah saves $45 per week. The equation now becomes:

$S=45\cdot W$

LEt's calculate the amount saved S after W=8 weeks of work:

$S=45\cdot8=360$

Answer: Jeremiah would save $360 in 8 weeks