According to the Solow model,the relationship between saving and growth is not linear because of:

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The Solow model argues that there is a limit to how much capital can contribute to economic growth, known as diminishing returns to capital. As more capital is accumulated, the additional output produced by each additional unit of capital invested becomes smaller and smaller. Therefore, the relationship between saving and growth is not linear, but rather exhibits decreasing marginal productivity. This means that as savings increase, the additional economic growth generated from those savings declines, eventually reaching a point where savings no longer contribute to growth. The other options (coordination failures, business cycles, and macroeconomic policy) may impact economic growth, but they do not explain the non-linear relationship between saving and growth described in the Solow model.

According to the Solow Model,the Relationship Between Saving and Growth