Answer:
Heather pay will be <u>290</u> for 40 hours of work.
Step-by-step explanation:
Given:
Amount he gets paid weekly =174
Number of hours of work =24
we need to find the amount of pay for 40 hours of work.
Also Given:
weekly pay is directly proportional to the number of hours.
Framing in equation form we get;
Amount Of Pay ∝ Number of hours of work
Hence Amount of Pay = k × Numbers of hours of work.
where k is constant.
Substituting the values we will find the value of k
![174 = k \times 24\\\\k = \frac{174}{24} = 7.25](https://tex.z-dn.net/?f=174%20%3D%20k%20%5Ctimes%2024%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B174%7D%7B24%7D%20%3D%207.25)
Now using this we will find the amount of pay when hours of work is 40.
Amount Of Pay = ![7.25\times 40 = 290](https://tex.z-dn.net/?f=7.25%5Ctimes%2040%20%3D%20290)
Hence Heather pay will be <u>290</u> for 40 hours of work.